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Finding the Fourth Proportional to 6,165.82, 9,248.74 and 1,548.82

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Solution

The fourth proportional to 6,165.82, 9,248.74 and 1,548.82 is: 2,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.82 : 9,248.74 = 1,548.82 : x
  2. Step 2: Convert to fraction form
    6,165.82/9,248.74 = 1,548.82/x
  3. Step 3: Cross multiply
    6,165.82x = 9,248.74 × 1,548.82
  4. Step 4: Simplify right side
    6,165.82x = 14,324,633.49
  5. Step 5: Solve for x
    x = 14,324,633.49/6,165.82
  6. Step 6: Final answer
    x = 2,323.23

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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.