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Finding the Fourth Proportional to 5,198.13, 7,825.26 and 4,746.15

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Solution

The fourth proportional to 5,198.13, 7,825.26 and 4,746.15 is: 7,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.13 : 7,825.26 = 4,746.15 : x
  2. Step 2: Convert to fraction form
    5,198.13/7,825.26 = 4,746.15/x
  3. Step 3: Cross multiply
    5,198.13x = 7,825.26 × 4,746.15
  4. Step 4: Simplify right side
    5,198.13x = 37,139,857.75
  5. Step 5: Solve for x
    x = 37,139,857.75/5,198.13
  6. Step 6: Final answer
    x = 7,144.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.