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Finding the Fourth Proportional to 7,082.40, 9,775.14 and 4,850.46

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Solution

The fourth proportional to 7,082.40, 9,775.14 and 4,850.46 is: 6,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.40 : 9,775.14 = 4,850.46 : x
  2. Step 2: Convert to fraction form
    7,082.40/9,775.14 = 4,850.46/x
  3. Step 3: Cross multiply
    7,082.40x = 9,775.14 × 4,850.46
  4. Step 4: Simplify right side
    7,082.40x = 47,413,925.56
  5. Step 5: Solve for x
    x = 47,413,925.56/7,082.40
  6. Step 6: Final answer
    x = 6,694.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.