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Finding the Fourth Proportional to 7,974.62, 11,004.75 and 4,437.75

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Solution

The fourth proportional to 7,974.62, 11,004.75 and 4,437.75 is: 6,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.62 : 11,004.75 = 4,437.75 : x
  2. Step 2: Convert to fraction form
    7,974.62/11,004.75 = 4,437.75/x
  3. Step 3: Cross multiply
    7,974.62x = 11,004.75 × 4,437.75
  4. Step 4: Simplify right side
    7,974.62x = 48,836,329.31
  5. Step 5: Solve for x
    x = 48,836,329.31/7,974.62
  6. Step 6: Final answer
    x = 6,123.97

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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.