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Finding the Fourth Proportional to 13,247.28, 18,280.89 and 7,658.28

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Solution

The fourth proportional to 13,247.28, 18,280.89 and 7,658.28 is: 10,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.28 : 18,280.89 = 7,658.28 : x
  2. Step 2: Convert to fraction form
    13,247.28/18,280.89 = 7,658.28/x
  3. Step 3: Cross multiply
    13,247.28x = 18,280.89 × 7,658.28
  4. Step 4: Simplify right side
    13,247.28x = 140,000,174.27
  5. Step 5: Solve for x
    x = 140,000,174.27/13,247.28
  6. Step 6: Final answer
    x = 10,568.22

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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.