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Finding the Fourth Proportional to 6,097.76, 9,149.98 and 2,587.22

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Solution

The fourth proportional to 6,097.76, 9,149.98 and 2,587.22 is: 3,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.76 : 9,149.98 = 2,587.22 : x
  2. Step 2: Convert to fraction form
    6,097.76/9,149.98 = 2,587.22/x
  3. Step 3: Cross multiply
    6,097.76x = 9,149.98 × 2,587.22
  4. Step 4: Simplify right side
    6,097.76x = 23,673,011.26
  5. Step 5: Solve for x
    x = 23,673,011.26/6,097.76
  6. Step 6: Final answer
    x = 3,882.25

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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.