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Finding the Fourth Proportional to 27,642.30, 41,463.45 and 6,865.80

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Solution

The fourth proportional to 27,642.30, 41,463.45 and 6,865.80 is: 10,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.30 : 41,463.45 = 6,865.80 : x
  2. Step 2: Convert to fraction form
    27,642.30/41,463.45 = 6,865.80/x
  3. Step 3: Cross multiply
    27,642.30x = 41,463.45 × 6,865.80
  4. Step 4: Simplify right side
    27,642.30x = 284,679,755.01
  5. Step 5: Solve for x
    x = 284,679,755.01/27,642.30
  6. Step 6: Final answer
    x = 10,298.70

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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.