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Finding the Fourth Proportional to 10,729.52, 14,806.92 and 6,013.52

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Solution

The fourth proportional to 10,729.52, 14,806.92 and 6,013.52 is: 8,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.52 : 14,806.92 = 6,013.52 : x
  2. Step 2: Convert to fraction form
    10,729.52/14,806.92 = 6,013.52/x
  3. Step 3: Cross multiply
    10,729.52x = 14,806.92 × 6,013.52
  4. Step 4: Simplify right side
    10,729.52x = 89,041,709.56
  5. Step 5: Solve for x
    x = 89,041,709.56/10,729.52
  6. Step 6: Final answer
    x = 8,298.76

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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.