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Finding the Fourth Proportional to 12,726.65, 17,566.12 and 7,139.45

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Solution

The fourth proportional to 12,726.65, 17,566.12 and 7,139.45 is: 9,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.65 : 17,566.12 = 7,139.45 : x
  2. Step 2: Convert to fraction form
    12,726.65/17,566.12 = 7,139.45/x
  3. Step 3: Cross multiply
    12,726.65x = 17,566.12 × 7,139.45
  4. Step 4: Simplify right side
    12,726.65x = 125,412,488.27
  5. Step 5: Solve for x
    x = 125,412,488.27/12,726.65
  6. Step 6: Final answer
    x = 9,854.32

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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.