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Finding the Fourth Proportional to 9,233.92, 12,741.32 and 5,255.10

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Solution

The fourth proportional to 9,233.92, 12,741.32 and 5,255.10 is: 7,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.92 : 12,741.32 = 5,255.10 : x
  2. Step 2: Convert to fraction form
    9,233.92/12,741.32 = 5,255.10/x
  3. Step 3: Cross multiply
    9,233.92x = 12,741.32 × 5,255.10
  4. Step 4: Simplify right side
    9,233.92x = 66,956,847.03
  5. Step 5: Solve for x
    x = 66,956,847.03/9,233.92
  6. Step 6: Final answer
    x = 7,251.19

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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.