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Finding the Fourth Proportional to 5,849.64, 8,067.06 and 5,059.08

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Solution

The fourth proportional to 5,849.64, 8,067.06 and 5,059.08 is: 6,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.64 : 8,067.06 = 5,059.08 : x
  2. Step 2: Convert to fraction form
    5,849.64/8,067.06 = 5,059.08/x
  3. Step 3: Cross multiply
    5,849.64x = 8,067.06 × 5,059.08
  4. Step 4: Simplify right side
    5,849.64x = 40,811,901.90
  5. Step 5: Solve for x
    x = 40,811,901.90/5,849.64
  6. Step 6: Final answer
    x = 6,976.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.