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Finding the Fourth Proportional to 12,142.64, 18,213.90 and 6,944.84

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Solution

The fourth proportional to 12,142.64, 18,213.90 and 6,944.84 is: 10,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.64 : 18,213.90 = 6,944.84 : x
  2. Step 2: Convert to fraction form
    12,142.64/18,213.90 = 6,944.84/x
  3. Step 3: Cross multiply
    12,142.64x = 18,213.90 × 6,944.84
  4. Step 4: Simplify right side
    12,142.64x = 126,492,621.28
  5. Step 5: Solve for x
    x = 126,492,621.28/12,142.64
  6. Step 6: Final answer
    x = 10,417.23

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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.