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Finding the Fourth Proportional to 8,301.68, 12,452.16 and 2,458.16

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Solution

The fourth proportional to 8,301.68, 12,452.16 and 2,458.16 is: 3,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.68 : 12,452.16 = 2,458.16 : x
  2. Step 2: Convert to fraction form
    8,301.68/12,452.16 = 2,458.16/x
  3. Step 3: Cross multiply
    8,301.68x = 12,452.16 × 2,458.16
  4. Step 4: Simplify right side
    8,301.68x = 30,609,401.63
  5. Step 5: Solve for x
    x = 30,609,401.63/8,301.68
  6. Step 6: Final answer
    x = 3,687.13

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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.