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Finding the Fourth Proportional to 12,493.84, 18,724.32 and 6,944.34

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Solution

The fourth proportional to 12,493.84, 18,724.32 and 6,944.34 is: 10,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.84 : 18,724.32 = 6,944.34 : x
  2. Step 2: Convert to fraction form
    12,493.84/18,724.32 = 6,944.34/x
  3. Step 3: Cross multiply
    12,493.84x = 18,724.32 × 6,944.34
  4. Step 4: Simplify right side
    12,493.84x = 130,028,044.35
  5. Step 5: Solve for x
    x = 130,028,044.35/12,493.84
  6. Step 6: Final answer
    x = 10,407.37

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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.