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Finding the Fourth Proportional to 9,232.98, 12,741.85 and 5,254.42

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Solution

The fourth proportional to 9,232.98, 12,741.85 and 5,254.42 is: 7,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.98 : 12,741.85 = 5,254.42 : x
  2. Step 2: Convert to fraction form
    9,232.98/12,741.85 = 5,254.42/x
  3. Step 3: Cross multiply
    9,232.98x = 12,741.85 × 5,254.42
  4. Step 4: Simplify right side
    9,232.98x = 66,951,031.48
  5. Step 5: Solve for x
    x = 66,951,031.48/9,232.98
  6. Step 6: Final answer
    x = 7,251.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.