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Finding the Fourth Proportional to 15,989.09, 22,064.13 and 8,914.14

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Solution

The fourth proportional to 15,989.09, 22,064.13 and 8,914.14 is: 12,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,989.09 : 22,064.13 = 8,914.14 : x
  2. Step 2: Convert to fraction form
    15,989.09/22,064.13 = 8,914.14/x
  3. Step 3: Cross multiply
    15,989.09x = 22,064.13 × 8,914.14
  4. Step 4: Simplify right side
    15,989.09x = 196,682,743.80
  5. Step 5: Solve for x
    x = 196,682,743.80/15,989.09
  6. Step 6: Final answer
    x = 12,301.06

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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.