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Finding the Fourth Proportional to 5,498.96, 8,248.54 and 1,989.24

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Solution

The fourth proportional to 5,498.96, 8,248.54 and 1,989.24 is: 2,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.96 : 8,248.54 = 1,989.24 : x
  2. Step 2: Convert to fraction form
    5,498.96/8,248.54 = 1,989.24/x
  3. Step 3: Cross multiply
    5,498.96x = 8,248.54 × 1,989.24
  4. Step 4: Simplify right side
    5,498.96x = 16,408,325.71
  5. Step 5: Solve for x
    x = 16,408,325.71/5,498.96
  6. Step 6: Final answer
    x = 2,983.90

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Half scale
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Double 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.