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Finding the Fourth Proportional to 6,474.32, 9,710.02 and 2,525.67

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Solution

The fourth proportional to 6,474.32, 9,710.02 and 2,525.67 is: 3,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.32 : 9,710.02 = 2,525.67 : x
  2. Step 2: Convert to fraction form
    6,474.32/9,710.02 = 2,525.67/x
  3. Step 3: Cross multiply
    6,474.32x = 9,710.02 × 2,525.67
  4. Step 4: Simplify right side
    6,474.32x = 24,524,306.21
  5. Step 5: Solve for x
    x = 24,524,306.21/6,474.32
  6. Step 6: Final answer
    x = 3,787.94

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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.