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Finding the Fourth Proportional to 6,707.40, 10,069.20 and 6,658.80

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Solution

The fourth proportional to 6,707.40, 10,069.20 and 6,658.80 is: 9,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.40 : 10,069.20 = 6,658.80 : x
  2. Step 2: Convert to fraction form
    6,707.40/10,069.20 = 6,658.80/x
  3. Step 3: Cross multiply
    6,707.40x = 10,069.20 × 6,658.80
  4. Step 4: Simplify right side
    6,707.40x = 67,048,788.96
  5. Step 5: Solve for x
    x = 67,048,788.96/6,707.40
  6. Step 6: Final answer
    x = 9,996.24

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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.