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Finding the Fourth Proportional to 6,300.50, 9,448.74 and 2,082.97

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Solution

The fourth proportional to 6,300.50, 9,448.74 and 2,082.97 is: 3,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.50 : 9,448.74 = 2,082.97 : x
  2. Step 2: Convert to fraction form
    6,300.50/9,448.74 = 2,082.97/x
  3. Step 3: Cross multiply
    6,300.50x = 9,448.74 × 2,082.97
  4. Step 4: Simplify right side
    6,300.50x = 19,681,441.96
  5. Step 5: Solve for x
    x = 19,681,441.96/6,300.50
  6. Step 6: Final answer
    x = 3,123.79

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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.