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Finding the Fourth Proportional to 4,301.44, 6,453.24 and 1,223.44

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Solution

The fourth proportional to 4,301.44, 6,453.24 and 1,223.44 is: 1,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.44 : 6,453.24 = 1,223.44 : x
  2. Step 2: Convert to fraction form
    4,301.44/6,453.24 = 1,223.44/x
  3. Step 3: Cross multiply
    4,301.44x = 6,453.24 × 1,223.44
  4. Step 4: Simplify right side
    4,301.44x = 7,895,151.95
  5. Step 5: Solve for x
    x = 7,895,151.95/4,301.44
  6. Step 6: Final answer
    x = 1,835.47

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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.