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Finding the Fourth Proportional to 10,467.38, 15,770.89 and 9,467.87

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Solution

The fourth proportional to 10,467.38, 15,770.89 and 9,467.87 is: 14,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.38 : 15,770.89 = 9,467.87 : x
  2. Step 2: Convert to fraction form
    10,467.38/15,770.89 = 9,467.87/x
  3. Step 3: Cross multiply
    10,467.38x = 15,770.89 × 9,467.87
  4. Step 4: Simplify right side
    10,467.38x = 149,316,704.74
  5. Step 5: Solve for x
    x = 149,316,704.74/10,467.38
  6. Step 6: Final answer
    x = 14,264.96

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1.5x scale

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.