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Finding the Fourth Proportional to 10,149, 15,224.28 and 3,223.56

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Solution

The fourth proportional to 10,149, 15,224.28 and 3,223.56 is: 4,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149 : 15,224.28 = 3,223.56 : x
  2. Step 2: Convert to fraction form
    10,149/15,224.28 = 3,223.56/x
  3. Step 3: Cross multiply
    10,149x = 15,224.28 × 3,223.56
  4. Step 4: Simplify right side
    10,149x = 49,076,380.04
  5. Step 5: Solve for x
    x = 49,076,380.04/10,149
  6. Step 6: Final answer
    x = 4,835.59

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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.