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Finding the Fourth Proportional to 12,710.97, 17,540.51 and 7,120.89

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Solution

The fourth proportional to 12,710.97, 17,540.51 and 7,120.89 is: 9,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.97 : 17,540.51 = 7,120.89 : x
  2. Step 2: Convert to fraction form
    12,710.97/17,540.51 = 7,120.89/x
  3. Step 3: Cross multiply
    12,710.97x = 17,540.51 × 7,120.89
  4. Step 4: Simplify right side
    12,710.97x = 124,904,006.65
  5. Step 5: Solve for x
    x = 124,904,006.65/12,710.97
  6. Step 6: Final answer
    x = 9,826.47

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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.