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Finding the Fourth Proportional to 6,842.73, 9,443.50 and 3,818.80

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Solution

The fourth proportional to 6,842.73, 9,443.50 and 3,818.80 is: 5,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.73 : 9,443.50 = 3,818.80 : x
  2. Step 2: Convert to fraction form
    6,842.73/9,443.50 = 3,818.80/x
  3. Step 3: Cross multiply
    6,842.73x = 9,443.50 × 3,818.80
  4. Step 4: Simplify right side
    6,842.73x = 36,062,837.80
  5. Step 5: Solve for x
    x = 36,062,837.80/6,842.73
  6. Step 6: Final answer
    x = 5,270.24

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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.