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Finding the Fourth Proportional to 5,155.62, 7,734.56 and 1,646.70

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Solution

The fourth proportional to 5,155.62, 7,734.56 and 1,646.70 is: 2,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.62 : 7,734.56 = 1,646.70 : x
  2. Step 2: Convert to fraction form
    5,155.62/7,734.56 = 1,646.70/x
  3. Step 3: Cross multiply
    5,155.62x = 7,734.56 × 1,646.70
  4. Step 4: Simplify right side
    5,155.62x = 12,736,499.95
  5. Step 5: Solve for x
    x = 12,736,499.95/5,155.62
  6. Step 6: Final answer
    x = 2,470.41

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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.