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Finding the Fourth Proportional to 6,607.82, 9,911.10 and 2,447.84

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Solution

The fourth proportional to 6,607.82, 9,911.10 and 2,447.84 is: 3,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.82 : 9,911.10 = 2,447.84 : x
  2. Step 2: Convert to fraction form
    6,607.82/9,911.10 = 2,447.84/x
  3. Step 3: Cross multiply
    6,607.82x = 9,911.10 × 2,447.84
  4. Step 4: Simplify right side
    6,607.82x = 24,260,787.02
  5. Step 5: Solve for x
    x = 24,260,787.02/6,607.82
  6. Step 6: Final answer
    x = 3,671.53

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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.