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Finding the Fourth Proportional to 12,726.84, 17,566.38 and 7,139.64

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Solution

The fourth proportional to 12,726.84, 17,566.38 and 7,139.64 is: 9,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.84 : 17,566.38 = 7,139.64 : x
  2. Step 2: Convert to fraction form
    12,726.84/17,566.38 = 7,139.64/x
  3. Step 3: Cross multiply
    12,726.84x = 17,566.38 × 7,139.64
  4. Step 4: Simplify right side
    12,726.84x = 125,417,629.30
  5. Step 5: Solve for x
    x = 125,417,629.30/12,726.84
  6. Step 6: Final answer
    x = 9,854.58

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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.