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Finding the Fourth Proportional to 9,932.68, 14,897.22 and 7,001.92

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Solution

The fourth proportional to 9,932.68, 14,897.22 and 7,001.92 is: 10,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.68 : 14,897.22 = 7,001.92 : x
  2. Step 2: Convert to fraction form
    9,932.68/14,897.22 = 7,001.92/x
  3. Step 3: Cross multiply
    9,932.68x = 14,897.22 × 7,001.92
  4. Step 4: Simplify right side
    9,932.68x = 104,309,142.66
  5. Step 5: Solve for x
    x = 104,309,142.66/9,932.68
  6. Step 6: Final answer
    x = 10,501.61

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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.