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Finding the Fourth Proportional to 9,092.52, 12,547.14 and 5,059.24

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Solution

The fourth proportional to 9,092.52, 12,547.14 and 5,059.24 is: 6,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.52 : 12,547.14 = 5,059.24 : x
  2. Step 2: Convert to fraction form
    9,092.52/12,547.14 = 5,059.24/x
  3. Step 3: Cross multiply
    9,092.52x = 12,547.14 × 5,059.24
  4. Step 4: Simplify right side
    9,092.52x = 63,478,992.57
  5. Step 5: Solve for x
    x = 63,478,992.57/9,092.52
  6. Step 6: Final answer
    x = 6,981.45

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Half scale
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Double scale
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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.