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Finding the Fourth Proportional to 7,235.53, 9,974.75 and 5,104.42

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Solution

The fourth proportional to 7,235.53, 9,974.75 and 5,104.42 is: 7,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.53 : 9,974.75 = 5,104.42 : x
  2. Step 2: Convert to fraction form
    7,235.53/9,974.75 = 5,104.42/x
  3. Step 3: Cross multiply
    7,235.53x = 9,974.75 × 5,104.42
  4. Step 4: Simplify right side
    7,235.53x = 50,915,313.40
  5. Step 5: Solve for x
    x = 50,915,313.40/7,235.53
  6. Step 6: Final answer
    x = 7,036.85

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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.