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Finding the Fourth Proportional to 6,570.52, 9,849.78 and 2,672.28

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Solution

The fourth proportional to 6,570.52, 9,849.78 and 2,672.28 is: 4,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.52 : 9,849.78 = 2,672.28 : x
  2. Step 2: Convert to fraction form
    6,570.52/9,849.78 = 2,672.28/x
  3. Step 3: Cross multiply
    6,570.52x = 9,849.78 × 2,672.28
  4. Step 4: Simplify right side
    6,570.52x = 26,321,370.10
  5. Step 5: Solve for x
    x = 26,321,370.10/6,570.52
  6. Step 6: Final answer
    x = 4,005.98

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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.