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Finding the Fourth Proportional to 6,959.64, 10,443.05 and 3,262.25

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Solution

The fourth proportional to 6,959.64, 10,443.05 and 3,262.25 is: 4,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.64 : 10,443.05 = 3,262.25 : x
  2. Step 2: Convert to fraction form
    6,959.64/10,443.05 = 3,262.25/x
  3. Step 3: Cross multiply
    6,959.64x = 10,443.05 × 3,262.25
  4. Step 4: Simplify right side
    6,959.64x = 34,067,787.65
  5. Step 5: Solve for x
    x = 34,067,787.65/6,959.64
  6. Step 6: Final answer
    x = 4,895.05

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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.