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Finding the Fourth Proportional to 6,568.48, 9,854.54 and 3,648.84

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Solution

The fourth proportional to 6,568.48, 9,854.54 and 3,648.84 is: 5,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.48 : 9,854.54 = 3,648.84 : x
  2. Step 2: Convert to fraction form
    6,568.48/9,854.54 = 3,648.84/x
  3. Step 3: Cross multiply
    6,568.48x = 9,854.54 × 3,648.84
  4. Step 4: Simplify right side
    6,568.48x = 35,957,639.73
  5. Step 5: Solve for x
    x = 35,957,639.73/6,568.48
  6. Step 6: Final answer
    x = 5,474.27

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1.5x scale

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.