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Finding the Fourth Proportional to 9,301.86, 12,814.92 and 7,613.42

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Solution

The fourth proportional to 9,301.86, 12,814.92 and 7,613.42 is: 10,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.86 : 12,814.92 = 7,613.42 : x
  2. Step 2: Convert to fraction form
    9,301.86/12,814.92 = 7,613.42/x
  3. Step 3: Cross multiply
    9,301.86x = 12,814.92 × 7,613.42
  4. Step 4: Simplify right side
    9,301.86x = 97,565,304.15
  5. Step 5: Solve for x
    x = 97,565,304.15/9,301.86
  6. Step 6: Final answer
    x = 10,488.80

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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.