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Finding the Fourth Proportional to 6,082.49, 9,123.74 and 1,465.49

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Solution

The fourth proportional to 6,082.49, 9,123.74 and 1,465.49 is: 2,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.49 : 9,123.74 = 1,465.49 : x
  2. Step 2: Convert to fraction form
    6,082.49/9,123.74 = 1,465.49/x
  3. Step 3: Cross multiply
    6,082.49x = 9,123.74 × 1,465.49
  4. Step 4: Simplify right side
    6,082.49x = 13,370,742.41
  5. Step 5: Solve for x
    x = 13,370,742.41/6,082.49
  6. Step 6: Final answer
    x = 2,198.24

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Similar ratio
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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.