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Finding the Fourth Proportional to 27,470.98, 41,206.16 and 6,694.48

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Solution

The fourth proportional to 27,470.98, 41,206.16 and 6,694.48 is: 10,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.98 : 41,206.16 = 6,694.48 : x
  2. Step 2: Convert to fraction form
    27,470.98/41,206.16 = 6,694.48/x
  3. Step 3: Cross multiply
    27,470.98x = 41,206.16 × 6,694.48
  4. Step 4: Simplify right side
    27,470.98x = 275,853,780.52
  5. Step 5: Solve for x
    x = 275,853,780.52/27,470.98
  6. Step 6: Final answer
    x = 10,041.64

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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.