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Finding the Fourth Proportional to 12,032.28, 16,600.14 and 7,253.28

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Solution

The fourth proportional to 12,032.28, 16,600.14 and 7,253.28 is: 10,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.28 : 16,600.14 = 7,253.28 : x
  2. Step 2: Convert to fraction form
    12,032.28/16,600.14 = 7,253.28/x
  3. Step 3: Cross multiply
    12,032.28x = 16,600.14 × 7,253.28
  4. Step 4: Simplify right side
    12,032.28x = 120,405,463.46
  5. Step 5: Solve for x
    x = 120,405,463.46/12,032.28
  6. Step 6: Final answer
    x = 10,006.87

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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.