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Finding the Fourth Proportional to 8,823.80, 13,231.71 and 6,348.24

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Solution

The fourth proportional to 8,823.80, 13,231.71 and 6,348.24 is: 9,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.80 : 13,231.71 = 6,348.24 : x
  2. Step 2: Convert to fraction form
    8,823.80/13,231.71 = 6,348.24/x
  3. Step 3: Cross multiply
    8,823.80x = 13,231.71 × 6,348.24
  4. Step 4: Simplify right side
    8,823.80x = 83,998,070.69
  5. Step 5: Solve for x
    x = 83,998,070.69/8,823.80
  6. Step 6: Final answer
    x = 9,519.49

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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.