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Finding the Fourth Proportional to 10,174.16, 15,246.52 and 4,974.16

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Solution

The fourth proportional to 10,174.16, 15,246.52 and 4,974.16 is: 7,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.16 : 15,246.52 = 4,974.16 : x
  2. Step 2: Convert to fraction form
    10,174.16/15,246.52 = 4,974.16/x
  3. Step 3: Cross multiply
    10,174.16x = 15,246.52 × 4,974.16
  4. Step 4: Simplify right side
    10,174.16x = 75,838,629.92
  5. Step 5: Solve for x
    x = 75,838,629.92/10,174.16
  6. Step 6: Final answer
    x = 7,454.04

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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.