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Finding the Fourth Proportional to 6,544.38, 9,034.94 and 4,309.98

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Solution

The fourth proportional to 6,544.38, 9,034.94 and 4,309.98 is: 5,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.38 : 9,034.94 = 4,309.98 : x
  2. Step 2: Convert to fraction form
    6,544.38/9,034.94 = 4,309.98/x
  3. Step 3: Cross multiply
    6,544.38x = 9,034.94 × 4,309.98
  4. Step 4: Simplify right side
    6,544.38x = 38,940,410.70
  5. Step 5: Solve for x
    x = 38,940,410.70/6,544.38
  6. Step 6: Final answer
    x = 5,950.21

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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.