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Finding the Fourth Proportional to 6,464.70, 9,675.45 and 5,687.10

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Solution

The fourth proportional to 6,464.70, 9,675.45 and 5,687.10 is: 8,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.70 : 9,675.45 = 5,687.10 : x
  2. Step 2: Convert to fraction form
    6,464.70/9,675.45 = 5,687.10/x
  3. Step 3: Cross multiply
    6,464.70x = 9,675.45 × 5,687.10
  4. Step 4: Simplify right side
    6,464.70x = 55,025,251.70
  5. Step 5: Solve for x
    x = 55,025,251.70/6,464.70
  6. Step 6: Final answer
    x = 8,511.65

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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.