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Finding the Fourth Proportional to 11,838.58, 16,343.15 and 7,363.77

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Solution

The fourth proportional to 11,838.58, 16,343.15 and 7,363.77 is: 10,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.58 : 16,343.15 = 7,363.77 : x
  2. Step 2: Convert to fraction form
    11,838.58/16,343.15 = 7,363.77/x
  3. Step 3: Cross multiply
    11,838.58x = 16,343.15 × 7,363.77
  4. Step 4: Simplify right side
    11,838.58x = 120,347,099.57
  5. Step 5: Solve for x
    x = 120,347,099.57/11,838.58
  6. Step 6: Final answer
    x = 10,165.67

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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.