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Finding the Fourth Proportional to 6,568.80, 9,862.80 and 4,629.60

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Solution

The fourth proportional to 6,568.80, 9,862.80 and 4,629.60 is: 6,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.80 : 9,862.80 = 4,629.60 : x
  2. Step 2: Convert to fraction form
    6,568.80/9,862.80 = 4,629.60/x
  3. Step 3: Cross multiply
    6,568.80x = 9,862.80 × 4,629.60
  4. Step 4: Simplify right side
    6,568.80x = 45,660,818.88
  5. Step 5: Solve for x
    x = 45,660,818.88/6,568.80
  6. Step 6: Final answer
    x = 6,951.17

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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.