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Finding the Fourth Proportional to 5,150.86, 7,722.88 and 1,863.53

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Solution

The fourth proportional to 5,150.86, 7,722.88 and 1,863.53 is: 2,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.86 : 7,722.88 = 1,863.53 : x
  2. Step 2: Convert to fraction form
    5,150.86/7,722.88 = 1,863.53/x
  3. Step 3: Cross multiply
    5,150.86x = 7,722.88 × 1,863.53
  4. Step 4: Simplify right side
    5,150.86x = 14,391,799.26
  5. Step 5: Solve for x
    x = 14,391,799.26/5,150.86
  6. Step 6: Final answer
    x = 2,794.06

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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.