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Finding the Fourth Proportional to 5,648.62, 8,474.06 and 1,950.98

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Solution

The fourth proportional to 5,648.62, 8,474.06 and 1,950.98 is: 2,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.62 : 8,474.06 = 1,950.98 : x
  2. Step 2: Convert to fraction form
    5,648.62/8,474.06 = 1,950.98/x
  3. Step 3: Cross multiply
    5,648.62x = 8,474.06 × 1,950.98
  4. Step 4: Simplify right side
    5,648.62x = 16,532,711.82
  5. Step 5: Solve for x
    x = 16,532,711.82/5,648.62
  6. Step 6: Final answer
    x = 2,926.86

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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.