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Finding the Fourth Proportional to 25,743, 38,617.56 and 9,099.60

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Solution

The fourth proportional to 25,743, 38,617.56 and 9,099.60 is: 13,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,743 : 38,617.56 = 9,099.60 : x
  2. Step 2: Convert to fraction form
    25,743/38,617.56 = 9,099.60/x
  3. Step 3: Cross multiply
    25,743x = 38,617.56 × 9,099.60
  4. Step 4: Simplify right side
    25,743x = 351,404,348.98
  5. Step 5: Solve for x
    x = 351,404,348.98/25,743
  6. Step 6: Final answer
    x = 13,650.48

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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.