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Finding the Fourth Proportional to 6,189.71, 8,542.01 and 4,425.53

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Solution

The fourth proportional to 6,189.71, 8,542.01 and 4,425.53 is: 6,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.71 : 8,542.01 = 4,425.53 : x
  2. Step 2: Convert to fraction form
    6,189.71/8,542.01 = 4,425.53/x
  3. Step 3: Cross multiply
    6,189.71x = 8,542.01 × 4,425.53
  4. Step 4: Simplify right side
    6,189.71x = 37,802,856.68
  5. Step 5: Solve for x
    x = 37,802,856.68/6,189.71
  6. Step 6: Final answer
    x = 6,107.38

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Half scale
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Double 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.