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Finding the Fourth Proportional to 8,098.81, 12,127.14 and 7,606.27

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Solution

The fourth proportional to 8,098.81, 12,127.14 and 7,606.27 is: 11,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.81 : 12,127.14 = 7,606.27 : x
  2. Step 2: Convert to fraction form
    8,098.81/12,127.14 = 7,606.27/x
  3. Step 3: Cross multiply
    8,098.81x = 12,127.14 × 7,606.27
  4. Step 4: Simplify right side
    8,098.81x = 92,242,240.53
  5. Step 5: Solve for x
    x = 92,242,240.53/8,098.81
  6. Step 6: Final answer
    x = 11,389.61

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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.