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Finding the Fourth Proportional to 7,082.37, 9,772.24 and 4,097.11

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Solution

The fourth proportional to 7,082.37, 9,772.24 and 4,097.11 is: 5,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.37 : 9,772.24 = 4,097.11 : x
  2. Step 2: Convert to fraction form
    7,082.37/9,772.24 = 4,097.11/x
  3. Step 3: Cross multiply
    7,082.37x = 9,772.24 × 4,097.11
  4. Step 4: Simplify right side
    7,082.37x = 40,037,942.23
  5. Step 5: Solve for x
    x = 40,037,942.23/7,082.37
  6. Step 6: Final answer
    x = 5,653.18

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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.