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Finding the Fourth Proportional to 6,959.64, 10,443.06 and 3,067.32

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Solution

The fourth proportional to 6,959.64, 10,443.06 and 3,067.32 is: 4,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.64 : 10,443.06 = 3,067.32 : x
  2. Step 2: Convert to fraction form
    6,959.64/10,443.06 = 3,067.32/x
  3. Step 3: Cross multiply
    6,959.64x = 10,443.06 × 3,067.32
  4. Step 4: Simplify right side
    6,959.64x = 32,032,206.80
  5. Step 5: Solve for x
    x = 32,032,206.80/6,959.64
  6. Step 6: Final answer
    x = 4,602.57

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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.