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Finding the Fourth Proportional to 6,474.71, 9,697.46 and 4,535.57

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Solution

The fourth proportional to 6,474.71, 9,697.46 and 4,535.57 is: 6,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.71 : 9,697.46 = 4,535.57 : x
  2. Step 2: Convert to fraction form
    6,474.71/9,697.46 = 4,535.57/x
  3. Step 3: Cross multiply
    6,474.71x = 9,697.46 × 4,535.57
  4. Step 4: Simplify right side
    6,474.71x = 43,983,437.49
  5. Step 5: Solve for x
    x = 43,983,437.49/6,474.71
  6. Step 6: Final answer
    x = 6,793.12

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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.