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Finding the Fourth Proportional to 30,843.47, 46,267.03 and 9,783.12

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Solution

The fourth proportional to 30,843.47, 46,267.03 and 9,783.12 is: 14,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.47 : 46,267.03 = 9,783.12 : x
  2. Step 2: Convert to fraction form
    30,843.47/46,267.03 = 9,783.12/x
  3. Step 3: Cross multiply
    30,843.47x = 46,267.03 × 9,783.12
  4. Step 4: Simplify right side
    30,843.47x = 452,635,906.53
  5. Step 5: Solve for x
    x = 452,635,906.53/30,843.47
  6. Step 6: Final answer
    x = 14,675.26

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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.