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Finding the Fourth Proportional to 10,906.93, 15,051.94 and 6,127.72

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Solution

The fourth proportional to 10,906.93, 15,051.94 and 6,127.72 is: 8,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.93 : 15,051.94 = 6,127.72 : x
  2. Step 2: Convert to fraction form
    10,906.93/15,051.94 = 6,127.72/x
  3. Step 3: Cross multiply
    10,906.93x = 15,051.94 × 6,127.72
  4. Step 4: Simplify right side
    10,906.93x = 92,234,073.78
  5. Step 5: Solve for x
    x = 92,234,073.78/10,906.93
  6. Step 6: Final answer
    x = 8,456.47

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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.