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Finding the Fourth Proportional to 13,761.80, 18,992.16 and 7,712.60

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Solution

The fourth proportional to 13,761.80, 18,992.16 and 7,712.60 is: 10,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.80 : 18,992.16 = 7,712.60 : x
  2. Step 2: Convert to fraction form
    13,761.80/18,992.16 = 7,712.60/x
  3. Step 3: Cross multiply
    13,761.80x = 18,992.16 × 7,712.60
  4. Step 4: Simplify right side
    13,761.80x = 146,478,933.22
  5. Step 5: Solve for x
    x = 146,478,933.22/13,761.80
  6. Step 6: Final answer
    x = 10,643.88

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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.