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Finding the Fourth Proportional to 6,265.62, 8,646.12 and 3,613.14

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Solution

The fourth proportional to 6,265.62, 8,646.12 and 3,613.14 is: 4,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.62 : 8,646.12 = 3,613.14 : x
  2. Step 2: Convert to fraction form
    6,265.62/8,646.12 = 3,613.14/x
  3. Step 3: Cross multiply
    6,265.62x = 8,646.12 × 3,613.14
  4. Step 4: Simplify right side
    6,265.62x = 31,239,642.02
  5. Step 5: Solve for x
    x = 31,239,642.02/6,265.62
  6. Step 6: Final answer
    x = 4,985.88

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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.