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Finding the Fourth Proportional to 9,227.95, 13,835.22 and 3,679.63

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Solution

The fourth proportional to 9,227.95, 13,835.22 and 3,679.63 is: 5,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.95 : 13,835.22 = 3,679.63 : x
  2. Step 2: Convert to fraction form
    9,227.95/13,835.22 = 3,679.63/x
  3. Step 3: Cross multiply
    9,227.95x = 13,835.22 × 3,679.63
  4. Step 4: Simplify right side
    9,227.95x = 50,908,490.57
  5. Step 5: Solve for x
    x = 50,908,490.57/9,227.95
  6. Step 6: Final answer
    x = 5,516.77

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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.