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Finding the Fourth Proportional to 6,585.68, 9,876.47 and 2,202.12

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Solution

The fourth proportional to 6,585.68, 9,876.47 and 2,202.12 is: 3,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.68 : 9,876.47 = 2,202.12 : x
  2. Step 2: Convert to fraction form
    6,585.68/9,876.47 = 2,202.12/x
  3. Step 3: Cross multiply
    6,585.68x = 9,876.47 × 2,202.12
  4. Step 4: Simplify right side
    6,585.68x = 21,749,132.33
  5. Step 5: Solve for x
    x = 21,749,132.33/6,585.68
  6. Step 6: Final answer
    x = 3,302.49

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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.