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Finding the Fourth Proportional to 7,474.92, 11,213 and 2,478.24

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Solution

The fourth proportional to 7,474.92, 11,213 and 2,478.24 is: 3,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.92 : 11,213 = 2,478.24 : x
  2. Step 2: Convert to fraction form
    7,474.92/11,213 = 2,478.24/x
  3. Step 3: Cross multiply
    7,474.92x = 11,213 × 2,478.24
  4. Step 4: Simplify right side
    7,474.92x = 27,788,505.12
  5. Step 5: Solve for x
    x = 27,788,505.12/7,474.92
  6. Step 6: Final answer
    x = 3,717.57

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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.