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Finding the Fourth Proportional to 6,698.14, 10,045.76 and 4,229.66

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Solution

The fourth proportional to 6,698.14, 10,045.76 and 4,229.66 is: 6,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.14 : 10,045.76 = 4,229.66 : x
  2. Step 2: Convert to fraction form
    6,698.14/10,045.76 = 4,229.66/x
  3. Step 3: Cross multiply
    6,698.14x = 10,045.76 × 4,229.66
  4. Step 4: Simplify right side
    6,698.14x = 42,490,149.24
  5. Step 5: Solve for x
    x = 42,490,149.24/6,698.14
  6. Step 6: Final answer
    x = 6,343.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.