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Finding the Fourth Proportional to 6,870.60, 10,294.90 and 6,688.36

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Solution

The fourth proportional to 6,870.60, 10,294.90 and 6,688.36 is: 10,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.60 : 10,294.90 = 6,688.36 : x
  2. Step 2: Convert to fraction form
    6,870.60/10,294.90 = 6,688.36/x
  3. Step 3: Cross multiply
    6,870.60x = 10,294.90 × 6,688.36
  4. Step 4: Simplify right side
    6,870.60x = 68,855,997.36
  5. Step 5: Solve for x
    x = 68,855,997.36/6,870.60
  6. Step 6: Final answer
    x = 10,021.83

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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.