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Finding the Fourth Proportional to 15,616.68, 23,408.70 and 6,844.20

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Solution

The fourth proportional to 15,616.68, 23,408.70 and 6,844.20 is: 10,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.68 : 23,408.70 = 6,844.20 : x
  2. Step 2: Convert to fraction form
    15,616.68/23,408.70 = 6,844.20/x
  3. Step 3: Cross multiply
    15,616.68x = 23,408.70 × 6,844.20
  4. Step 4: Simplify right side
    15,616.68x = 160,213,824.54
  5. Step 5: Solve for x
    x = 160,213,824.54/15,616.68
  6. Step 6: Final answer
    x = 10,259.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.