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Finding the Fourth Proportional to 6,082.95, 9,119.74 and 5,464.79

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Solution

The fourth proportional to 6,082.95, 9,119.74 and 5,464.79 is: 8,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.95 : 9,119.74 = 5,464.79 : x
  2. Step 2: Convert to fraction form
    6,082.95/9,119.74 = 5,464.79/x
  3. Step 3: Cross multiply
    6,082.95x = 9,119.74 × 5,464.79
  4. Step 4: Simplify right side
    6,082.95x = 49,837,463.95
  5. Step 5: Solve for x
    x = 49,837,463.95/6,082.95
  6. Step 6: Final answer
    x = 8,192.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.