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Finding the Fourth Proportional to 4,517.84, 6,775.85 and 2,437.46

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Solution

The fourth proportional to 4,517.84, 6,775.85 and 2,437.46 is: 3,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.84 : 6,775.85 = 2,437.46 : x
  2. Step 2: Convert to fraction form
    4,517.84/6,775.85 = 2,437.46/x
  3. Step 3: Cross multiply
    4,517.84x = 6,775.85 × 2,437.46
  4. Step 4: Simplify right side
    4,517.84x = 16,515,860.96
  5. Step 5: Solve for x
    x = 16,515,860.96/4,517.84
  6. Step 6: Final answer
    x = 3,655.70

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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.