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Finding the Fourth Proportional to 8,096.78, 12,126.35 and 7,816.17

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Solution

The fourth proportional to 8,096.78, 12,126.35 and 7,816.17 is: 11,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.78 : 12,126.35 = 7,816.17 : x
  2. Step 2: Convert to fraction form
    8,096.78/12,126.35 = 7,816.17/x
  3. Step 3: Cross multiply
    8,096.78x = 12,126.35 × 7,816.17
  4. Step 4: Simplify right side
    8,096.78x = 94,781,678.09
  5. Step 5: Solve for x
    x = 94,781,678.09/8,096.78
  6. Step 6: Final answer
    x = 11,706.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.