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Finding the Fourth Proportional to 7,651.50, 11,475.74 and 2,103.42

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Solution

The fourth proportional to 7,651.50, 11,475.74 and 2,103.42 is: 3,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.50 : 11,475.74 = 2,103.42 : x
  2. Step 2: Convert to fraction form
    7,651.50/11,475.74 = 2,103.42/x
  3. Step 3: Cross multiply
    7,651.50x = 11,475.74 × 2,103.42
  4. Step 4: Simplify right side
    7,651.50x = 24,138,248.91
  5. Step 5: Solve for x
    x = 24,138,248.91/7,651.50
  6. Step 6: Final answer
    x = 3,154.71

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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.