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Finding the Fourth Proportional to 6,537.40, 9,806.10 and 5,999.80

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Solution

The fourth proportional to 6,537.40, 9,806.10 and 5,999.80 is: 8,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.40 : 9,806.10 = 5,999.80 : x
  2. Step 2: Convert to fraction form
    6,537.40/9,806.10 = 5,999.80/x
  3. Step 3: Cross multiply
    6,537.40x = 9,806.10 × 5,999.80
  4. Step 4: Simplify right side
    6,537.40x = 58,834,638.78
  5. Step 5: Solve for x
    x = 58,834,638.78/6,537.40
  6. Step 6: Final answer
    x = 8,999.70

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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.