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Finding the Fourth Proportional to 9,592.92, 13,231.08 and 9,447.12

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Solution

The fourth proportional to 9,592.92, 13,231.08 and 9,447.12 is: 13,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.92 : 13,231.08 = 9,447.12 : x
  2. Step 2: Convert to fraction form
    9,592.92/13,231.08 = 9,447.12/x
  3. Step 3: Cross multiply
    9,592.92x = 13,231.08 × 9,447.12
  4. Step 4: Simplify right side
    9,592.92x = 124,995,600.49
  5. Step 5: Solve for x
    x = 124,995,600.49/9,592.92
  6. Step 6: Final answer
    x = 13,029.98

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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.