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Finding the Fourth Proportional to 9,098.74, 13,648.10 and 2,859.24

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Solution

The fourth proportional to 9,098.74, 13,648.10 and 2,859.24 is: 4,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.74 : 13,648.10 = 2,859.24 : x
  2. Step 2: Convert to fraction form
    9,098.74/13,648.10 = 2,859.24/x
  3. Step 3: Cross multiply
    9,098.74x = 13,648.10 × 2,859.24
  4. Step 4: Simplify right side
    9,098.74x = 39,023,193.44
  5. Step 5: Solve for x
    x = 39,023,193.44/9,098.74
  6. Step 6: Final answer
    x = 4,288.86

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Similar ratio
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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.