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Finding the Fourth Proportional to 10,470.74, 14,450.31 and 6,494.50

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Solution

The fourth proportional to 10,470.74, 14,450.31 and 6,494.50 is: 8,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.74 : 14,450.31 = 6,494.50 : x
  2. Step 2: Convert to fraction form
    10,470.74/14,450.31 = 6,494.50/x
  3. Step 3: Cross multiply
    10,470.74x = 14,450.31 × 6,494.50
  4. Step 4: Simplify right side
    10,470.74x = 93,847,433.57
  5. Step 5: Solve for x
    x = 93,847,433.57/10,470.74
  6. Step 6: Final answer
    x = 8,962.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.