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Finding the Fourth Proportional to 6,569.76, 9,838.61 and 3,452.37

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Solution

The fourth proportional to 6,569.76, 9,838.61 and 3,452.37 is: 5,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.76 : 9,838.61 = 3,452.37 : x
  2. Step 2: Convert to fraction form
    6,569.76/9,838.61 = 3,452.37/x
  3. Step 3: Cross multiply
    6,569.76x = 9,838.61 × 3,452.37
  4. Step 4: Simplify right side
    6,569.76x = 33,966,555.56
  5. Step 5: Solve for x
    x = 33,966,555.56/6,569.76
  6. Step 6: Final answer
    x = 5,170.14

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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.