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Finding the Fourth Proportional to 16,624.11, 24,935.92 and 7,734.47

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Solution

The fourth proportional to 16,624.11, 24,935.92 and 7,734.47 is: 11,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.11 : 24,935.92 = 7,734.47 : x
  2. Step 2: Convert to fraction form
    16,624.11/24,935.92 = 7,734.47/x
  3. Step 3: Cross multiply
    16,624.11x = 24,935.92 × 7,734.47
  4. Step 4: Simplify right side
    16,624.11x = 192,866,082.16
  5. Step 5: Solve for x
    x = 192,866,082.16/16,624.11
  6. Step 6: Final answer
    x = 11,601.59

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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.