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Finding the Fourth Proportional to 27,647.30, 41,470.94 and 6,870.80

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Solution

The fourth proportional to 27,647.30, 41,470.94 and 6,870.80 is: 10,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.30 : 41,470.94 = 6,870.80 : x
  2. Step 2: Convert to fraction form
    27,647.30/41,470.94 = 6,870.80/x
  3. Step 3: Cross multiply
    27,647.30x = 41,470.94 × 6,870.80
  4. Step 4: Simplify right side
    27,647.30x = 284,938,655.41
  5. Step 5: Solve for x
    x = 284,938,655.41/27,647.30
  6. Step 6: Final answer
    x = 10,306.20

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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.