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Finding the Fourth Proportional to 8,347.38, 11,494.89 and 7,462.86

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Solution

The fourth proportional to 8,347.38, 11,494.89 and 7,462.86 is: 10,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.38 : 11,494.89 = 7,462.86 : x
  2. Step 2: Convert to fraction form
    8,347.38/11,494.89 = 7,462.86/x
  3. Step 3: Cross multiply
    8,347.38x = 11,494.89 × 7,462.86
  4. Step 4: Simplify right side
    8,347.38x = 85,784,754.79
  5. Step 5: Solve for x
    x = 85,784,754.79/8,347.38
  6. Step 6: Final answer
    x = 10,276.85

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Half scale
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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.