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Finding the Fourth Proportional to 6,548.49, 9,824.22 and 2,165.94

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Solution

The fourth proportional to 6,548.49, 9,824.22 and 2,165.94 is: 3,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.49 : 9,824.22 = 2,165.94 : x
  2. Step 2: Convert to fraction form
    6,548.49/9,824.22 = 2,165.94/x
  3. Step 3: Cross multiply
    6,548.49x = 9,824.22 × 2,165.94
  4. Step 4: Simplify right side
    6,548.49x = 21,278,671.07
  5. Step 5: Solve for x
    x = 21,278,671.07/6,548.49
  6. Step 6: Final answer
    x = 3,249.40

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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.