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Finding the Fourth Proportional to 9,034.67, 13,565.78 and 8,589.17

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Solution

The fourth proportional to 9,034.67, 13,565.78 and 8,589.17 is: 12,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.67 : 13,565.78 = 8,589.17 : x
  2. Step 2: Convert to fraction form
    9,034.67/13,565.78 = 8,589.17/x
  3. Step 3: Cross multiply
    9,034.67x = 13,565.78 × 8,589.17
  4. Step 4: Simplify right side
    9,034.67x = 116,518,790.60
  5. Step 5: Solve for x
    x = 116,518,790.60/9,034.67
  6. Step 6: Final answer
    x = 12,896.85

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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.