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Finding the Fourth Proportional to 6,489.18, 9,698.21 and 4,737.88

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Solution

The fourth proportional to 6,489.18, 9,698.21 and 4,737.88 is: 7,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.18 : 9,698.21 = 4,737.88 : x
  2. Step 2: Convert to fraction form
    6,489.18/9,698.21 = 4,737.88/x
  3. Step 3: Cross multiply
    6,489.18x = 9,698.21 × 4,737.88
  4. Step 4: Simplify right side
    6,489.18x = 45,948,933.49
  5. Step 5: Solve for x
    x = 45,948,933.49/6,489.18
  6. Step 6: Final answer
    x = 7,080.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.