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Finding the Fourth Proportional to 6,981.91, 10,470.13 and 2,596.97

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Solution

The fourth proportional to 6,981.91, 10,470.13 and 2,596.97 is: 3,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.91 : 10,470.13 = 2,596.97 : x
  2. Step 2: Convert to fraction form
    6,981.91/10,470.13 = 2,596.97/x
  3. Step 3: Cross multiply
    6,981.91x = 10,470.13 × 2,596.97
  4. Step 4: Simplify right side
    6,981.91x = 27,190,633.19
  5. Step 5: Solve for x
    x = 27,190,633.19/6,981.91
  6. Step 6: Final answer
    x = 3,894.44

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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.