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Finding the Fourth Proportional to 15,986.84, 22,062.10 and 8,912.48

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Solution

The fourth proportional to 15,986.84, 22,062.10 and 8,912.48 is: 12,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.84 : 22,062.10 = 8,912.48 : x
  2. Step 2: Convert to fraction form
    15,986.84/22,062.10 = 8,912.48/x
  3. Step 3: Cross multiply
    15,986.84x = 22,062.10 × 8,912.48
  4. Step 4: Simplify right side
    15,986.84x = 196,628,025.01
  5. Step 5: Solve for x
    x = 196,628,025.01/15,986.84
  6. Step 6: Final answer
    x = 12,299.37

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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.