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Finding the Fourth Proportional to 6,082.87, 9,123.51 and 1,923.29

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Solution

The fourth proportional to 6,082.87, 9,123.51 and 1,923.29 is: 2,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.87 : 9,123.51 = 1,923.29 : x
  2. Step 2: Convert to fraction form
    6,082.87/9,123.51 = 1,923.29/x
  3. Step 3: Cross multiply
    6,082.87x = 9,123.51 × 1,923.29
  4. Step 4: Simplify right side
    6,082.87x = 17,547,197.27
  5. Step 5: Solve for x
    x = 17,547,197.27/6,082.87
  6. Step 6: Final answer
    x = 2,884.69

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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.