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Finding the Fourth Proportional to 3,123.20, 4,224 and 3,123.20

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Solution

The fourth proportional to 3,123.20, 4,224 and 3,123.20 is: 4,224

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.20 : 4,224 = 3,123.20 : x
  2. Step 2: Convert to fraction form
    3,123.20/4,224 = 3,123.20/x
  3. Step 3: Cross multiply
    3,123.20x = 4,224 × 3,123.20
  4. Step 4: Simplify right side
    3,123.20x = 13,192,396.80
  5. Step 5: Solve for x
    x = 13,192,396.80/3,123.20
  6. Step 6: Final answer
    x = 4,224

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.