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Finding the Fourth Proportional to 7,082.12, 9,772.22 and 4,098.24

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Solution

The fourth proportional to 7,082.12, 9,772.22 and 4,098.24 is: 5,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.12 : 9,772.22 = 4,098.24 : x
  2. Step 2: Convert to fraction form
    7,082.12/9,772.22 = 4,098.24/x
  3. Step 3: Cross multiply
    7,082.12x = 9,772.22 × 4,098.24
  4. Step 4: Simplify right side
    7,082.12x = 40,048,913.14
  5. Step 5: Solve for x
    x = 40,048,913.14/7,082.12
  6. Step 6: Final answer
    x = 5,654.93

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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.