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Finding the Fourth Proportional to 4,801.92, 7,203.56 and 1,514.64

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Solution

The fourth proportional to 4,801.92, 7,203.56 and 1,514.64 is: 2,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.92 : 7,203.56 = 1,514.64 : x
  2. Step 2: Convert to fraction form
    4,801.92/7,203.56 = 1,514.64/x
  3. Step 3: Cross multiply
    4,801.92x = 7,203.56 × 1,514.64
  4. Step 4: Simplify right side
    4,801.92x = 10,910,800.12
  5. Step 5: Solve for x
    x = 10,910,800.12/4,801.92
  6. Step 6: Final answer
    x = 2,272.17

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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.