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Finding the Fourth Proportional to 6,644.52, 9,166.50 and 4,406.76

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Solution

The fourth proportional to 6,644.52, 9,166.50 and 4,406.76 is: 6,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.52 : 9,166.50 = 4,406.76 : x
  2. Step 2: Convert to fraction form
    6,644.52/9,166.50 = 4,406.76/x
  3. Step 3: Cross multiply
    6,644.52x = 9,166.50 × 4,406.76
  4. Step 4: Simplify right side
    6,644.52x = 40,394,565.54
  5. Step 5: Solve for x
    x = 40,394,565.54/6,644.52
  6. Step 6: Final answer
    x = 6,079.38

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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.