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Finding the Fourth Proportional to 30,843.40, 46,236.74 and 11,117.14

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Solution

The fourth proportional to 30,843.40, 46,236.74 and 11,117.14 is: 16,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.40 : 46,236.74 = 11,117.14 : x
  2. Step 2: Convert to fraction form
    30,843.40/46,236.74 = 11,117.14/x
  3. Step 3: Cross multiply
    30,843.40x = 46,236.74 × 11,117.14
  4. Step 4: Simplify right side
    30,843.40x = 514,020,311.72
  5. Step 5: Solve for x
    x = 514,020,311.72/30,843.40
  6. Step 6: Final answer
    x = 16,665.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.