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Finding the Fourth Proportional to 6,966.13, 9,613.20 and 3,779.43

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Solution

The fourth proportional to 6,966.13, 9,613.20 and 3,779.43 is: 5,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.13 : 9,613.20 = 3,779.43 : x
  2. Step 2: Convert to fraction form
    6,966.13/9,613.20 = 3,779.43/x
  3. Step 3: Cross multiply
    6,966.13x = 9,613.20 × 3,779.43
  4. Step 4: Simplify right side
    6,966.13x = 36,332,416.48
  5. Step 5: Solve for x
    x = 36,332,416.48/6,966.13
  6. Step 6: Final answer
    x = 5,215.58

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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.