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Finding the Fourth Proportional to 8,012.97, 10,987.61 and 7,734.87

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Solution

The fourth proportional to 8,012.97, 10,987.61 and 7,734.87 is: 10,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.97 : 10,987.61 = 7,734.87 : x
  2. Step 2: Convert to fraction form
    8,012.97/10,987.61 = 7,734.87/x
  3. Step 3: Cross multiply
    8,012.97x = 10,987.61 × 7,734.87
  4. Step 4: Simplify right side
    8,012.97x = 84,987,696.29
  5. Step 5: Solve for x
    x = 84,987,696.29/8,012.97
  6. Step 6: Final answer
    x = 10,606.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.