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Finding the Fourth Proportional to 6,562.71, 9,845.31 and 2,121.57

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Solution

The fourth proportional to 6,562.71, 9,845.31 and 2,121.57 is: 3,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.71 : 9,845.31 = 2,121.57 : x
  2. Step 2: Convert to fraction form
    6,562.71/9,845.31 = 2,121.57/x
  3. Step 3: Cross multiply
    6,562.71x = 9,845.31 × 2,121.57
  4. Step 4: Simplify right side
    6,562.71x = 20,887,514.34
  5. Step 5: Solve for x
    x = 20,887,514.34/6,562.71
  6. Step 6: Final answer
    x = 3,182.76

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1.5x scale

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.