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Finding the Fourth Proportional to 9,474.68, 13,082.02 and 6,119.46

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Solution

The fourth proportional to 9,474.68, 13,082.02 and 6,119.46 is: 8,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.68 : 13,082.02 = 6,119.46 : x
  2. Step 2: Convert to fraction form
    9,474.68/13,082.02 = 6,119.46/x
  3. Step 3: Cross multiply
    9,474.68x = 13,082.02 × 6,119.46
  4. Step 4: Simplify right side
    9,474.68x = 80,054,898.11
  5. Step 5: Solve for x
    x = 80,054,898.11/9,474.68
  6. Step 6: Final answer
    x = 8,449.35

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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.