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Finding the Fourth Proportional to 5,591.89, 7,726.14 and 4,658.77

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Solution

The fourth proportional to 5,591.89, 7,726.14 and 4,658.77 is: 6,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.89 : 7,726.14 = 4,658.77 : x
  2. Step 2: Convert to fraction form
    5,591.89/7,726.14 = 4,658.77/x
  3. Step 3: Cross multiply
    5,591.89x = 7,726.14 × 4,658.77
  4. Step 4: Simplify right side
    5,591.89x = 35,994,247.32
  5. Step 5: Solve for x
    x = 35,994,247.32/5,591.89
  6. Step 6: Final answer
    x = 6,436.87

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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.