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Finding the Fourth Proportional to 6,164.92, 9,244.95 and 3,569.68

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Solution

The fourth proportional to 6,164.92, 9,244.95 and 3,569.68 is: 5,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.92 : 9,244.95 = 3,569.68 : x
  2. Step 2: Convert to fraction form
    6,164.92/9,244.95 = 3,569.68/x
  3. Step 3: Cross multiply
    6,164.92x = 9,244.95 × 3,569.68
  4. Step 4: Simplify right side
    6,164.92x = 33,001,513.12
  5. Step 5: Solve for x
    x = 33,001,513.12/6,164.92
  6. Step 6: Final answer
    x = 5,353.11

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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.