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Finding the Fourth Proportional to 12,569.38, 17,345.61 and 6,980.42

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Solution

The fourth proportional to 12,569.38, 17,345.61 and 6,980.42 is: 9,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.38 : 17,345.61 = 6,980.42 : x
  2. Step 2: Convert to fraction form
    12,569.38/17,345.61 = 6,980.42/x
  3. Step 3: Cross multiply
    12,569.38x = 17,345.61 × 6,980.42
  4. Step 4: Simplify right side
    12,569.38x = 121,079,642.96
  5. Step 5: Solve for x
    x = 121,079,642.96/12,569.38
  6. Step 6: Final answer
    x = 9,632.90

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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.