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Finding the Fourth Proportional to 5,602.71, 7,732.15 and 3,084.92

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Solution

The fourth proportional to 5,602.71, 7,732.15 and 3,084.92 is: 4,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.71 : 7,732.15 = 3,084.92 : x
  2. Step 2: Convert to fraction form
    5,602.71/7,732.15 = 3,084.92/x
  3. Step 3: Cross multiply
    5,602.71x = 7,732.15 × 3,084.92
  4. Step 4: Simplify right side
    5,602.71x = 23,853,064.18
  5. Step 5: Solve for x
    x = 23,853,064.18/5,602.71
  6. Step 6: Final answer
    x = 4,257.42

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.