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Finding the Fourth Proportional to 13,690.10, 18,891.97 and 7,721.42

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Solution

The fourth proportional to 13,690.10, 18,891.97 and 7,721.42 is: 10,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.10 : 18,891.97 = 7,721.42 : x
  2. Step 2: Convert to fraction form
    13,690.10/18,891.97 = 7,721.42/x
  3. Step 3: Cross multiply
    13,690.10x = 18,891.97 × 7,721.42
  4. Step 4: Simplify right side
    13,690.10x = 145,872,721.23
  5. Step 5: Solve for x
    x = 145,872,721.23/13,690.10
  6. Step 6: Final answer
    x = 10,655.34

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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.