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Finding the Fourth Proportional to 7,213.62, 10,806.24 and 4,741.11

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Solution

The fourth proportional to 7,213.62, 10,806.24 and 4,741.11 is: 7,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.62 : 10,806.24 = 4,741.11 : x
  2. Step 2: Convert to fraction form
    7,213.62/10,806.24 = 4,741.11/x
  3. Step 3: Cross multiply
    7,213.62x = 10,806.24 × 4,741.11
  4. Step 4: Simplify right side
    7,213.62x = 51,233,572.53
  5. Step 5: Solve for x
    x = 51,233,572.53/7,213.62
  6. Step 6: Final answer
    x = 7,102.34

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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.