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Finding the Fourth Proportional to 6,468.80, 9,713.10 and 3,552.80

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Solution

The fourth proportional to 6,468.80, 9,713.10 and 3,552.80 is: 5,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.80 : 9,713.10 = 3,552.80 : x
  2. Step 2: Convert to fraction form
    6,468.80/9,713.10 = 3,552.80/x
  3. Step 3: Cross multiply
    6,468.80x = 9,713.10 × 3,552.80
  4. Step 4: Simplify right side
    6,468.80x = 34,508,701.68
  5. Step 5: Solve for x
    x = 34,508,701.68/6,468.80
  6. Step 6: Final answer
    x = 5,334.64

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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.