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Finding the Fourth Proportional to 8,470.70, 11,690.13 and 4,694.03

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Solution

The fourth proportional to 8,470.70, 11,690.13 and 4,694.03 is: 6,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.70 : 11,690.13 = 4,694.03 : x
  2. Step 2: Convert to fraction form
    8,470.70/11,690.13 = 4,694.03/x
  3. Step 3: Cross multiply
    8,470.70x = 11,690.13 × 4,694.03
  4. Step 4: Simplify right side
    8,470.70x = 54,873,820.92
  5. Step 5: Solve for x
    x = 54,873,820.92/8,470.70
  6. Step 6: Final answer
    x = 6,478.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.