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Finding the Fourth Proportional to 11,342.80, 17,006.10 and 5,097.70

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Solution

The fourth proportional to 11,342.80, 17,006.10 and 5,097.70 is: 7,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.80 : 17,006.10 = 5,097.70 : x
  2. Step 2: Convert to fraction form
    11,342.80/17,006.10 = 5,097.70/x
  3. Step 3: Cross multiply
    11,342.80x = 17,006.10 × 5,097.70
  4. Step 4: Simplify right side
    11,342.80x = 86,691,995.97
  5. Step 5: Solve for x
    x = 86,691,995.97/11,342.80
  6. Step 6: Final answer
    x = 7,642.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.