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Finding the Fourth Proportional to 6,542.00, 9,813.11 and 1,862.13

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Solution

The fourth proportional to 6,542.00, 9,813.11 and 1,862.13 is: 2,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.00 : 9,813.11 = 1,862.13 : x
  2. Step 2: Convert to fraction form
    6,542.00/9,813.11 = 1,862.13/x
  3. Step 3: Cross multiply
    6,542.00x = 9,813.11 × 1,862.13
  4. Step 4: Simplify right side
    6,542.00x = 18,273,247.40
  5. Step 5: Solve for x
    x = 18,273,247.40/6,542.00
  6. Step 6: Final answer
    x = 2,793.22

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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.