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Finding the Fourth Proportional to 10,481.12, 15,708.36 and 4,922.24

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Solution

The fourth proportional to 10,481.12, 15,708.36 and 4,922.24 is: 7,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.12 : 15,708.36 = 4,922.24 : x
  2. Step 2: Convert to fraction form
    10,481.12/15,708.36 = 4,922.24/x
  3. Step 3: Cross multiply
    10,481.12x = 15,708.36 × 4,922.24
  4. Step 4: Simplify right side
    10,481.12x = 77,320,317.93
  5. Step 5: Solve for x
    x = 77,320,317.93/10,481.12
  6. Step 6: Final answer
    x = 7,377.10

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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.