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Finding the Fourth Proportional to 8,299.50, 11,442.09 and 8,041.51

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Solution

The fourth proportional to 8,299.50, 11,442.09 and 8,041.51 is: 11,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.50 : 11,442.09 = 8,041.51 : x
  2. Step 2: Convert to fraction form
    8,299.50/11,442.09 = 8,041.51/x
  3. Step 3: Cross multiply
    8,299.50x = 11,442.09 × 8,041.51
  4. Step 4: Simplify right side
    8,299.50x = 92,011,725.61
  5. Step 5: Solve for x
    x = 92,011,725.61/8,299.50
  6. Step 6: Final answer
    x = 11,086.42

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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.