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Finding the Fourth Proportional to 6,165.84, 9,247.67 and 2,005.23

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Solution

The fourth proportional to 6,165.84, 9,247.67 and 2,005.23 is: 3,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.84 : 9,247.67 = 2,005.23 : x
  2. Step 2: Convert to fraction form
    6,165.84/9,247.67 = 2,005.23/x
  3. Step 3: Cross multiply
    6,165.84x = 9,247.67 × 2,005.23
  4. Step 4: Simplify right side
    6,165.84x = 18,543,695.29
  5. Step 5: Solve for x
    x = 18,543,695.29/6,165.84
  6. Step 6: Final answer
    x = 3,007.49

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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.