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Finding the Fourth Proportional to 7,630.65, 11,444.17 and 2,082.67

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Solution

The fourth proportional to 7,630.65, 11,444.17 and 2,082.67 is: 3,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.65 : 11,444.17 = 2,082.67 : x
  2. Step 2: Convert to fraction form
    7,630.65/11,444.17 = 2,082.67/x
  3. Step 3: Cross multiply
    7,630.65x = 11,444.17 × 2,082.67
  4. Step 4: Simplify right side
    7,630.65x = 23,834,429.53
  5. Step 5: Solve for x
    x = 23,834,429.53/7,630.65
  6. Step 6: Final answer
    x = 3,123.51

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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.