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Finding the Fourth Proportional to 7,082.36, 9,774.42 and 4,098.14

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Solution

The fourth proportional to 7,082.36, 9,774.42 and 4,098.14 is: 5,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.36 : 9,774.42 = 4,098.14 : x
  2. Step 2: Convert to fraction form
    7,082.36/9,774.42 = 4,098.14/x
  3. Step 3: Cross multiply
    7,082.36x = 9,774.42 × 4,098.14
  4. Step 4: Simplify right side
    7,082.36x = 40,056,941.58
  5. Step 5: Solve for x
    x = 40,056,941.58/7,082.36
  6. Step 6: Final answer
    x = 5,655.87

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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.