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Finding the Fourth Proportional to 6,356.48, 9,532.16 and 2,195.84

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Solution

The fourth proportional to 6,356.48, 9,532.16 and 2,195.84 is: 3,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.48 : 9,532.16 = 2,195.84 : x
  2. Step 2: Convert to fraction form
    6,356.48/9,532.16 = 2,195.84/x
  3. Step 3: Cross multiply
    6,356.48x = 9,532.16 × 2,195.84
  4. Step 4: Simplify right side
    6,356.48x = 20,931,098.21
  5. Step 5: Solve for x
    x = 20,931,098.21/6,356.48
  6. Step 6: Final answer
    x = 3,292.88

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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.