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Finding the Fourth Proportional to 6,568.20, 9,856.08 and 3,646.26

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Solution

The fourth proportional to 6,568.20, 9,856.08 and 3,646.26 is: 5,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.20 : 9,856.08 = 3,646.26 : x
  2. Step 2: Convert to fraction form
    6,568.20/9,856.08 = 3,646.26/x
  3. Step 3: Cross multiply
    6,568.20x = 9,856.08 × 3,646.26
  4. Step 4: Simplify right side
    6,568.20x = 35,937,830.26
  5. Step 5: Solve for x
    x = 35,937,830.26/6,568.20
  6. Step 6: Final answer
    x = 5,471.49

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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.