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Finding the Fourth Proportional to 7,697.97, 11,548.78 and 5,523.12

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Solution

The fourth proportional to 7,697.97, 11,548.78 and 5,523.12 is: 8,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.97 : 11,548.78 = 5,523.12 : x
  2. Step 2: Convert to fraction form
    7,697.97/11,548.78 = 5,523.12/x
  3. Step 3: Cross multiply
    7,697.97x = 11,548.78 × 5,523.12
  4. Step 4: Simplify right side
    7,697.97x = 63,785,283.99
  5. Step 5: Solve for x
    x = 63,785,283.99/7,697.97
  6. Step 6: Final answer
    x = 8,285.99

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Similar ratio
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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.