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Finding the Fourth Proportional to 6,474.85, 9,712.29 and 2,774.68

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Solution

The fourth proportional to 6,474.85, 9,712.29 and 2,774.68 is: 4,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.85 : 9,712.29 = 2,774.68 : x
  2. Step 2: Convert to fraction form
    6,474.85/9,712.29 = 2,774.68/x
  3. Step 3: Cross multiply
    6,474.85x = 9,712.29 × 2,774.68
  4. Step 4: Simplify right side
    6,474.85x = 26,948,482.94
  5. Step 5: Solve for x
    x = 26,948,482.94/6,474.85
  6. Step 6: Final answer
    x = 4,162.02

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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.