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Finding the Fourth Proportional to 8,037, 11,078.91 and 6,911.91

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Solution

The fourth proportional to 8,037, 11,078.91 and 6,911.91 is: 9,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 11,078.91 = 6,911.91 : x
  2. Step 2: Convert to fraction form
    8,037/11,078.91 = 6,911.91/x
  3. Step 3: Cross multiply
    8,037x = 11,078.91 × 6,911.91
  4. Step 4: Simplify right side
    8,037x = 76,576,428.82
  5. Step 5: Solve for x
    x = 76,576,428.82/8,037
  6. Step 6: Final answer
    x = 9,527.99

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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.