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Finding the Fourth Proportional to 8,233.70, 11,369.05 and 7,603.99

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Solution

The fourth proportional to 8,233.70, 11,369.05 and 7,603.99 is: 10,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.70 : 11,369.05 = 7,603.99 : x
  2. Step 2: Convert to fraction form
    8,233.70/11,369.05 = 7,603.99/x
  3. Step 3: Cross multiply
    8,233.70x = 11,369.05 × 7,603.99
  4. Step 4: Simplify right side
    8,233.70x = 86,450,180.41
  5. Step 5: Solve for x
    x = 86,450,180.41/8,233.70
  6. Step 6: Final answer
    x = 10,499.56

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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.