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Finding the Fourth Proportional to 7,067.59, 10,585.14 and 4,098.68

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Solution

The fourth proportional to 7,067.59, 10,585.14 and 4,098.68 is: 6,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.59 : 10,585.14 = 4,098.68 : x
  2. Step 2: Convert to fraction form
    7,067.59/10,585.14 = 4,098.68/x
  3. Step 3: Cross multiply
    7,067.59x = 10,585.14 × 4,098.68
  4. Step 4: Simplify right side
    7,067.59x = 43,385,073.01
  5. Step 5: Solve for x
    x = 43,385,073.01/7,067.59
  6. Step 6: Final answer
    x = 6,138.60

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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.