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Finding the Fourth Proportional to 6,634.71, 9,137.07 and 6,614.19

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Solution

The fourth proportional to 6,634.71, 9,137.07 and 6,614.19 is: 9,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.71 : 9,137.07 = 6,614.19 : x
  2. Step 2: Convert to fraction form
    6,634.71/9,137.07 = 6,614.19/x
  3. Step 3: Cross multiply
    6,634.71x = 9,137.07 × 6,614.19
  4. Step 4: Simplify right side
    6,634.71x = 60,434,317.02
  5. Step 5: Solve for x
    x = 60,434,317.02/6,634.71
  6. Step 6: Final answer
    x = 9,108.81

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Half scale
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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.