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Finding the Fourth Proportional to 10,082.84, 13,912.28 and 5,890.28

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Solution

The fourth proportional to 10,082.84, 13,912.28 and 5,890.28 is: 8,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.84 : 13,912.28 = 5,890.28 : x
  2. Step 2: Convert to fraction form
    10,082.84/13,912.28 = 5,890.28/x
  3. Step 3: Cross multiply
    10,082.84x = 13,912.28 × 5,890.28
  4. Step 4: Simplify right side
    10,082.84x = 81,947,224.64
  5. Step 5: Solve for x
    x = 81,947,224.64/10,082.84
  6. Step 6: Final answer
    x = 8,127.40

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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.