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Finding the Fourth Proportional to 6,755.25, 9,322.25 and 4,102.17

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Solution

The fourth proportional to 6,755.25, 9,322.25 and 4,102.17 is: 5,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.25 : 9,322.25 = 4,102.17 : x
  2. Step 2: Convert to fraction form
    6,755.25/9,322.25 = 4,102.17/x
  3. Step 3: Cross multiply
    6,755.25x = 9,322.25 × 4,102.17
  4. Step 4: Simplify right side
    6,755.25x = 38,241,433.77
  5. Step 5: Solve for x
    x = 38,241,433.77/6,755.25
  6. Step 6: Final answer
    x = 5,660.99

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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.