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Finding the Fourth Proportional to 12,613.14, 17,405.92 and 6,948.42

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Solution

The fourth proportional to 12,613.14, 17,405.92 and 6,948.42 is: 9,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.14 : 17,405.92 = 6,948.42 : x
  2. Step 2: Convert to fraction form
    12,613.14/17,405.92 = 6,948.42/x
  3. Step 3: Cross multiply
    12,613.14x = 17,405.92 × 6,948.42
  4. Step 4: Simplify right side
    12,613.14x = 120,943,642.65
  5. Step 5: Solve for x
    x = 120,943,642.65/12,613.14
  6. Step 6: Final answer
    x = 9,588.70

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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.