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Finding the Fourth Proportional to 10,638.99, 14,682.33 and 5,923.17

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Solution

The fourth proportional to 10,638.99, 14,682.33 and 5,923.17 is: 8,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.99 : 14,682.33 = 5,923.17 : x
  2. Step 2: Convert to fraction form
    10,638.99/14,682.33 = 5,923.17/x
  3. Step 3: Cross multiply
    10,638.99x = 14,682.33 × 5,923.17
  4. Step 4: Simplify right side
    10,638.99x = 86,965,936.59
  5. Step 5: Solve for x
    x = 86,965,936.59/10,638.99
  6. Step 6: Final answer
    x = 8,174.27

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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.