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Finding the Fourth Proportional to 4,774.76, 7,162.11 and 1,487.86

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Solution

The fourth proportional to 4,774.76, 7,162.11 and 1,487.86 is: 2,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.76 : 7,162.11 = 1,487.86 : x
  2. Step 2: Convert to fraction form
    4,774.76/7,162.11 = 1,487.86/x
  3. Step 3: Cross multiply
    4,774.76x = 7,162.11 × 1,487.86
  4. Step 4: Simplify right side
    4,774.76x = 10,656,216.98
  5. Step 5: Solve for x
    x = 10,656,216.98/4,774.76
  6. Step 6: Final answer
    x = 2,231.78

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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.