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Finding the Fourth Proportional to 6,447.48, 9,673.78 and 6,437.24

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Solution

The fourth proportional to 6,447.48, 9,673.78 and 6,437.24 is: 9,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.48 : 9,673.78 = 6,437.24 : x
  2. Step 2: Convert to fraction form
    6,447.48/9,673.78 = 6,437.24/x
  3. Step 3: Cross multiply
    6,447.48x = 9,673.78 × 6,437.24
  4. Step 4: Simplify right side
    6,447.48x = 62,272,443.57
  5. Step 5: Solve for x
    x = 62,272,443.57/6,447.48
  6. Step 6: Final answer
    x = 9,658.42

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Half scale
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Similar ratio
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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.