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Finding the Fourth Proportional to 9,743.10, 14,614.65 and 8,475.90

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Solution

The fourth proportional to 9,743.10, 14,614.65 and 8,475.90 is: 12,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.10 : 14,614.65 = 8,475.90 : x
  2. Step 2: Convert to fraction form
    9,743.10/14,614.65 = 8,475.90/x
  3. Step 3: Cross multiply
    9,743.10x = 14,614.65 × 8,475.90
  4. Step 4: Simplify right side
    9,743.10x = 123,872,311.94
  5. Step 5: Solve for x
    x = 123,872,311.94/9,743.10
  6. Step 6: Final answer
    x = 12,713.85

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Similar ratio
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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.