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Finding the Fourth Proportional to 5,601.62, 7,729.53 and 3,243.74

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Solution

The fourth proportional to 5,601.62, 7,729.53 and 3,243.74 is: 4,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.62 : 7,729.53 = 3,243.74 : x
  2. Step 2: Convert to fraction form
    5,601.62/7,729.53 = 3,243.74/x
  3. Step 3: Cross multiply
    5,601.62x = 7,729.53 × 3,243.74
  4. Step 4: Simplify right side
    5,601.62x = 25,072,585.64
  5. Step 5: Solve for x
    x = 25,072,585.64/5,601.62
  6. Step 6: Final answer
    x = 4,475.95

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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.