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Finding the Fourth Proportional to 9,192.55, 13,795.78 and 6,733.76

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Solution

The fourth proportional to 9,192.55, 13,795.78 and 6,733.76 is: 10,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.55 : 13,795.78 = 6,733.76 : x
  2. Step 2: Convert to fraction form
    9,192.55/13,795.78 = 6,733.76/x
  3. Step 3: Cross multiply
    9,192.55x = 13,795.78 × 6,733.76
  4. Step 4: Simplify right side
    9,192.55x = 92,897,471.53
  5. Step 5: Solve for x
    x = 92,897,471.53/9,192.55
  6. Step 6: Final answer
    x = 10,105.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.