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Finding the Fourth Proportional to 8,242.80, 12,382.41 and 4,957.80

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Solution

The fourth proportional to 8,242.80, 12,382.41 and 4,957.80 is: 7,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.80 : 12,382.41 = 4,957.80 : x
  2. Step 2: Convert to fraction form
    8,242.80/12,382.41 = 4,957.80/x
  3. Step 3: Cross multiply
    8,242.80x = 12,382.41 × 4,957.80
  4. Step 4: Simplify right side
    8,242.80x = 61,389,512.30
  5. Step 5: Solve for x
    x = 61,389,512.30/8,242.80
  6. Step 6: Final answer
    x = 7,447.65

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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.