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Finding the Fourth Proportional to 6,082.87, 9,124.30 and 1,465.87

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Solution

The fourth proportional to 6,082.87, 9,124.30 and 1,465.87 is: 2,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.87 : 9,124.30 = 1,465.87 : x
  2. Step 2: Convert to fraction form
    6,082.87/9,124.30 = 1,465.87/x
  3. Step 3: Cross multiply
    6,082.87x = 9,124.30 × 1,465.87
  4. Step 4: Simplify right side
    6,082.87x = 13,374,988.35
  5. Step 5: Solve for x
    x = 13,374,988.35/6,082.87
  6. Step 6: Final answer
    x = 2,198.80

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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.