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Finding the Fourth Proportional to 6,674, 10,032.60 and 6,193.04

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Solution

The fourth proportional to 6,674, 10,032.60 and 6,193.04 is: 9,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674 : 10,032.60 = 6,193.04 : x
  2. Step 2: Convert to fraction form
    6,674/10,032.60 = 6,193.04/x
  3. Step 3: Cross multiply
    6,674x = 10,032.60 × 6,193.04
  4. Step 4: Simplify right side
    6,674x = 62,132,293.10
  5. Step 5: Solve for x
    x = 62,132,293.10/6,674
  6. Step 6: Final answer
    x = 9,309.60

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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.