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Finding the Fourth Proportional to 10,408.50, 14,360.22 and 5,929.11

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Solution

The fourth proportional to 10,408.50, 14,360.22 and 5,929.11 is: 8,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.50 : 14,360.22 = 5,929.11 : x
  2. Step 2: Convert to fraction form
    10,408.50/14,360.22 = 5,929.11/x
  3. Step 3: Cross multiply
    10,408.50x = 14,360.22 × 5,929.11
  4. Step 4: Simplify right side
    10,408.50x = 85,143,324.00
  5. Step 5: Solve for x
    x = 85,143,324.00/10,408.50
  6. Step 6: Final answer
    x = 8,180.17

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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.