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Finding the Fourth Proportional to 6,113.25, 9,169.88 and 1,496.25

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Solution

The fourth proportional to 6,113.25, 9,169.88 and 1,496.25 is: 2,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.25 : 9,169.88 = 1,496.25 : x
  2. Step 2: Convert to fraction form
    6,113.25/9,169.88 = 1,496.25/x
  3. Step 3: Cross multiply
    6,113.25x = 9,169.88 × 1,496.25
  4. Step 4: Simplify right side
    6,113.25x = 13,720,425.47
  5. Step 5: Solve for x
    x = 13,720,425.47/6,113.25
  6. Step 6: Final answer
    x = 2,244.38

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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.