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Finding the Fourth Proportional to 8,711.52, 13,084.10 and 7,464.93

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Solution

The fourth proportional to 8,711.52, 13,084.10 and 7,464.93 is: 11,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.52 : 13,084.10 = 7,464.93 : x
  2. Step 2: Convert to fraction form
    8,711.52/13,084.10 = 7,464.93/x
  3. Step 3: Cross multiply
    8,711.52x = 13,084.10 × 7,464.93
  4. Step 4: Simplify right side
    8,711.52x = 97,671,853.29
  5. Step 5: Solve for x
    x = 97,671,853.29/8,711.52
  6. Step 6: Final answer
    x = 11,211.80

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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.