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Finding the Fourth Proportional to 27,034.47, 40,548.51 and 8,314.47

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Solution

The fourth proportional to 27,034.47, 40,548.51 and 8,314.47 is: 12,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,034.47 : 40,548.51 = 8,314.47 : x
  2. Step 2: Convert to fraction form
    27,034.47/40,548.51 = 8,314.47/x
  3. Step 3: Cross multiply
    27,034.47x = 40,548.51 × 8,314.47
  4. Step 4: Simplify right side
    27,034.47x = 337,139,369.94
  5. Step 5: Solve for x
    x = 337,139,369.94/27,034.47
  6. Step 6: Final answer
    x = 12,470.72

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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.