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Finding the Fourth Proportional to 6,342.50, 9,513.52 and 1,959.95

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Solution

The fourth proportional to 6,342.50, 9,513.52 and 1,959.95 is: 2,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.50 : 9,513.52 = 1,959.95 : x
  2. Step 2: Convert to fraction form
    6,342.50/9,513.52 = 1,959.95/x
  3. Step 3: Cross multiply
    6,342.50x = 9,513.52 × 1,959.95
  4. Step 4: Simplify right side
    6,342.50x = 18,646,042.41
  5. Step 5: Solve for x
    x = 18,646,042.41/6,342.50
  6. Step 6: Final answer
    x = 2,939.86

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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.