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Finding the Fourth Proportional to 9,115.32, 13,672.98 and 5,829.96

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Solution

The fourth proportional to 9,115.32, 13,672.98 and 5,829.96 is: 8,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.32 : 13,672.98 = 5,829.96 : x
  2. Step 2: Convert to fraction form
    9,115.32/13,672.98 = 5,829.96/x
  3. Step 3: Cross multiply
    9,115.32x = 13,672.98 × 5,829.96
  4. Step 4: Simplify right side
    9,115.32x = 79,712,926.48
  5. Step 5: Solve for x
    x = 79,712,926.48/9,115.32
  6. Step 6: Final answer
    x = 8,744.94

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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.