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Finding the Fourth Proportional to 5,645.25, 8,462.25 and 1,944.96

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Solution

The fourth proportional to 5,645.25, 8,462.25 and 1,944.96 is: 2,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.25 : 8,462.25 = 1,944.96 : x
  2. Step 2: Convert to fraction form
    5,645.25/8,462.25 = 1,944.96/x
  3. Step 3: Cross multiply
    5,645.25x = 8,462.25 × 1,944.96
  4. Step 4: Simplify right side
    5,645.25x = 16,458,737.76
  5. Step 5: Solve for x
    x = 16,458,737.76/5,645.25
  6. Step 6: Final answer
    x = 2,915.50

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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.