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Finding the Fourth Proportional to 6,493.84, 9,732.98 and 3,722.40

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Solution

The fourth proportional to 6,493.84, 9,732.98 and 3,722.40 is: 5,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.84 : 9,732.98 = 3,722.40 : x
  2. Step 2: Convert to fraction form
    6,493.84/9,732.98 = 3,722.40/x
  3. Step 3: Cross multiply
    6,493.84x = 9,732.98 × 3,722.40
  4. Step 4: Simplify right side
    6,493.84x = 36,230,044.75
  5. Step 5: Solve for x
    x = 36,230,044.75/6,493.84
  6. Step 6: Final answer
    x = 5,579.14

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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.