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Finding the Fourth Proportional to 8,049.53, 11,102.79 and 5,664.49

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Solution

The fourth proportional to 8,049.53, 11,102.79 and 5,664.49 is: 7,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.53 : 11,102.79 = 5,664.49 : x
  2. Step 2: Convert to fraction form
    8,049.53/11,102.79 = 5,664.49/x
  3. Step 3: Cross multiply
    8,049.53x = 11,102.79 × 5,664.49
  4. Step 4: Simplify right side
    8,049.53x = 62,891,642.93
  5. Step 5: Solve for x
    x = 62,891,642.93/8,049.53
  6. Step 6: Final answer
    x = 7,813.08

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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.