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Finding the Fourth Proportional to 7,082.42, 9,773.99 and 4,058.09

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Solution

The fourth proportional to 7,082.42, 9,773.99 and 4,058.09 is: 5,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.42 : 9,773.99 = 4,058.09 : x
  2. Step 2: Convert to fraction form
    7,082.42/9,773.99 = 4,058.09/x
  3. Step 3: Cross multiply
    7,082.42x = 9,773.99 × 4,058.09
  4. Step 4: Simplify right side
    7,082.42x = 39,663,692.35
  5. Step 5: Solve for x
    x = 39,663,692.35/7,082.42
  6. Step 6: Final answer
    x = 5,600.30

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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.