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Finding the Fourth Proportional to 10,932, 16,472.49 and 9,738.51

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Solution

The fourth proportional to 10,932, 16,472.49 and 9,738.51 is: 14,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932 : 16,472.49 = 9,738.51 : x
  2. Step 2: Convert to fraction form
    10,932/16,472.49 = 9,738.51/x
  3. Step 3: Cross multiply
    10,932x = 16,472.49 × 9,738.51
  4. Step 4: Simplify right side
    10,932x = 160,417,508.59
  5. Step 5: Solve for x
    x = 160,417,508.59/10,932
  6. Step 6: Final answer
    x = 14,674.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.