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Finding the Fourth Proportional to 8,694.81, 11,995.70 and 5,712.26

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Solution

The fourth proportional to 8,694.81, 11,995.70 and 5,712.26 is: 7,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.81 : 11,995.70 = 5,712.26 : x
  2. Step 2: Convert to fraction form
    8,694.81/11,995.70 = 5,712.26/x
  3. Step 3: Cross multiply
    8,694.81x = 11,995.70 × 5,712.26
  4. Step 4: Simplify right side
    8,694.81x = 68,522,468.74
  5. Step 5: Solve for x
    x = 68,522,468.74/8,694.81
  6. Step 6: Final answer
    x = 7,880.85

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1.5x scale

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.