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Finding the Fourth Proportional to 7,242.66, 10,882.14 and 4,611.30

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Solution

The fourth proportional to 7,242.66, 10,882.14 and 4,611.30 is: 6,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.66 : 10,882.14 = 4,611.30 : x
  2. Step 2: Convert to fraction form
    7,242.66/10,882.14 = 4,611.30/x
  3. Step 3: Cross multiply
    7,242.66x = 10,882.14 × 4,611.30
  4. Step 4: Simplify right side
    7,242.66x = 50,180,812.18
  5. Step 5: Solve for x
    x = 50,180,812.18/7,242.66
  6. Step 6: Final answer
    x = 6,928.51

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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.