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Finding the Fourth Proportional to 6,295.56, 8,689.02 and 3,642.98

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Solution

The fourth proportional to 6,295.56, 8,689.02 and 3,642.98 is: 5,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.56 : 8,689.02 = 3,642.98 : x
  2. Step 2: Convert to fraction form
    6,295.56/8,689.02 = 3,642.98/x
  3. Step 3: Cross multiply
    6,295.56x = 8,689.02 × 3,642.98
  4. Step 4: Simplify right side
    6,295.56x = 31,653,882.63
  5. Step 5: Solve for x
    x = 31,653,882.63/6,295.56
  6. Step 6: Final answer
    x = 5,027.97

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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.