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Finding the Fourth Proportional to 6,542.00, 9,814.22 and 2,649.14

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Solution

The fourth proportional to 6,542.00, 9,814.22 and 2,649.14 is: 3,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.00 : 9,814.22 = 2,649.14 : x
  2. Step 2: Convert to fraction form
    6,542.00/9,814.22 = 2,649.14/x
  3. Step 3: Cross multiply
    6,542.00x = 9,814.22 × 2,649.14
  4. Step 4: Simplify right side
    6,542.00x = 25,999,180.45
  5. Step 5: Solve for x
    x = 25,999,180.45/6,542.00
  6. Step 6: Final answer
    x = 3,974.20

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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.