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Finding the Fourth Proportional to 6,140.80, 9,207.96 and 2,674

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Solution

The fourth proportional to 6,140.80, 9,207.96 and 2,674 is: 4,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.80 : 9,207.96 = 2,674 : x
  2. Step 2: Convert to fraction form
    6,140.80/9,207.96 = 2,674/x
  3. Step 3: Cross multiply
    6,140.80x = 9,207.96 × 2,674
  4. Step 4: Simplify right side
    6,140.80x = 24,622,085.04
  5. Step 5: Solve for x
    x = 24,622,085.04/6,140.80
  6. Step 6: Final answer
    x = 4,009.59

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Why These Related Problems?

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