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Finding the Fourth Proportional to 4,801.44, 7,202.16 and 1,514.80

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Solution

The fourth proportional to 4,801.44, 7,202.16 and 1,514.80 is: 2,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.44 : 7,202.16 = 1,514.80 : x
  2. Step 2: Convert to fraction form
    4,801.44/7,202.16 = 1,514.80/x
  3. Step 3: Cross multiply
    4,801.44x = 7,202.16 × 1,514.80
  4. Step 4: Simplify right side
    4,801.44x = 10,909,831.97
  5. Step 5: Solve for x
    x = 10,909,831.97/4,801.44
  6. Step 6: Final answer
    x = 2,272.20

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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.