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Finding the Fourth Proportional to 5,204.76, 7,805.18 and 1,693.85

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Solution

The fourth proportional to 5,204.76, 7,805.18 and 1,693.85 is: 2,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.76 : 7,805.18 = 1,693.85 : x
  2. Step 2: Convert to fraction form
    5,204.76/7,805.18 = 1,693.85/x
  3. Step 3: Cross multiply
    5,204.76x = 7,805.18 × 1,693.85
  4. Step 4: Simplify right side
    5,204.76x = 13,220,765.12
  5. Step 5: Solve for x
    x = 13,220,765.12/5,204.76
  6. Step 6: Final answer
    x = 2,540.13

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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.