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Finding the Fourth Proportional to 6,711.36, 9,266.16 and 6,000.90

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Solution

The fourth proportional to 6,711.36, 9,266.16 and 6,000.90 is: 8,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.36 : 9,266.16 = 6,000.90 : x
  2. Step 2: Convert to fraction form
    6,711.36/9,266.16 = 6,000.90/x
  3. Step 3: Cross multiply
    6,711.36x = 9,266.16 × 6,000.90
  4. Step 4: Simplify right side
    6,711.36x = 55,605,299.54
  5. Step 5: Solve for x
    x = 55,605,299.54/6,711.36
  6. Step 6: Final answer
    x = 8,285.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.