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Finding the Fourth Proportional to 15,891.92, 21,935.11 and 9,920

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Solution

The fourth proportional to 15,891.92, 21,935.11 and 9,920 is: 13,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.92 : 21,935.11 = 9,920 : x
  2. Step 2: Convert to fraction form
    15,891.92/21,935.11 = 9,920/x
  3. Step 3: Cross multiply
    15,891.92x = 21,935.11 × 9,920
  4. Step 4: Simplify right side
    15,891.92x = 217,596,291.20
  5. Step 5: Solve for x
    x = 217,596,291.20/15,891.92
  6. Step 6: Final answer
    x = 13,692.26

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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.