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Finding the Fourth Proportional to 5,970.68, 8,229.22 and 4,287.48

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Solution

The fourth proportional to 5,970.68, 8,229.22 and 4,287.48 is: 5,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.68 : 8,229.22 = 4,287.48 : x
  2. Step 2: Convert to fraction form
    5,970.68/8,229.22 = 4,287.48/x
  3. Step 3: Cross multiply
    5,970.68x = 8,229.22 × 4,287.48
  4. Step 4: Simplify right side
    5,970.68x = 35,282,616.17
  5. Step 5: Solve for x
    x = 35,282,616.17/5,970.68
  6. Step 6: Final answer
    x = 5,909.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.