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Finding the Fourth Proportional to 9,232.58, 13,861.17 and 7,854.77

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Solution

The fourth proportional to 9,232.58, 13,861.17 and 7,854.77 is: 11,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.58 : 13,861.17 = 7,854.77 : x
  2. Step 2: Convert to fraction form
    9,232.58/13,861.17 = 7,854.77/x
  3. Step 3: Cross multiply
    9,232.58x = 13,861.17 × 7,854.77
  4. Step 4: Simplify right side
    9,232.58x = 108,876,302.28
  5. Step 5: Solve for x
    x = 108,876,302.28/9,232.58
  6. Step 6: Final answer
    x = 11,792.62

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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.