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Finding the Fourth Proportional to 5,569.98, 7,687.35 and 3,474.78

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Solution

The fourth proportional to 5,569.98, 7,687.35 and 3,474.78 is: 4,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.98 : 7,687.35 = 3,474.78 : x
  2. Step 2: Convert to fraction form
    5,569.98/7,687.35 = 3,474.78/x
  3. Step 3: Cross multiply
    5,569.98x = 7,687.35 × 3,474.78
  4. Step 4: Simplify right side
    5,569.98x = 26,711,850.03
  5. Step 5: Solve for x
    x = 26,711,850.03/5,569.98
  6. Step 6: Final answer
    x = 4,795.68

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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.