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Finding the Fourth Proportional to 10,082.64, 13,912.05 and 6,104.13

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Solution

The fourth proportional to 10,082.64, 13,912.05 and 6,104.13 is: 8,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.64 : 13,912.05 = 6,104.13 : x
  2. Step 2: Convert to fraction form
    10,082.64/13,912.05 = 6,104.13/x
  3. Step 3: Cross multiply
    10,082.64x = 13,912.05 × 6,104.13
  4. Step 4: Simplify right side
    10,082.64x = 84,920,907.47
  5. Step 5: Solve for x
    x = 84,920,907.47/10,082.64
  6. Step 6: Final answer
    x = 8,422.49

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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.