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Finding the Fourth Proportional to 9,232.52, 13,861.09 and 7,854.71

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Solution

The fourth proportional to 9,232.52, 13,861.09 and 7,854.71 is: 11,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.52 : 13,861.09 = 7,854.71 : x
  2. Step 2: Convert to fraction form
    9,232.52/13,861.09 = 7,854.71/x
  3. Step 3: Cross multiply
    9,232.52x = 13,861.09 × 7,854.71
  4. Step 4: Simplify right side
    9,232.52x = 108,874,782.75
  5. Step 5: Solve for x
    x = 108,874,782.75/9,232.52
  6. Step 6: Final answer
    x = 11,792.54

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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.