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Finding the Fourth Proportional to 8,097.18, 11,101.28 and 7,949.58

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Solution

The fourth proportional to 8,097.18, 11,101.28 and 7,949.58 is: 10,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.18 : 11,101.28 = 7,949.58 : x
  2. Step 2: Convert to fraction form
    8,097.18/11,101.28 = 7,949.58/x
  3. Step 3: Cross multiply
    8,097.18x = 11,101.28 × 7,949.58
  4. Step 4: Simplify right side
    8,097.18x = 88,250,473.71
  5. Step 5: Solve for x
    x = 88,250,473.71/8,097.18
  6. Step 6: Final answer
    x = 10,898.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.