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Finding the Fourth Proportional to 10,076.66, 13,906.92 and 6,097.69

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Solution

The fourth proportional to 10,076.66, 13,906.92 and 6,097.69 is: 8,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.66 : 13,906.92 = 6,097.69 : x
  2. Step 2: Convert to fraction form
    10,076.66/13,906.92 = 6,097.69/x
  3. Step 3: Cross multiply
    10,076.66x = 13,906.92 × 6,097.69
  4. Step 4: Simplify right side
    10,076.66x = 84,800,127.26
  5. Step 5: Solve for x
    x = 84,800,127.26/10,076.66
  6. Step 6: Final answer
    x = 8,415.50

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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.