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Finding the Fourth Proportional to 9,177.70, 13,696.16 and 8,193.52

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Solution

The fourth proportional to 9,177.70, 13,696.16 and 8,193.52 is: 12,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.70 : 13,696.16 = 8,193.52 : x
  2. Step 2: Convert to fraction form
    9,177.70/13,696.16 = 8,193.52/x
  3. Step 3: Cross multiply
    9,177.70x = 13,696.16 × 8,193.52
  4. Step 4: Simplify right side
    9,177.70x = 112,219,760.88
  5. Step 5: Solve for x
    x = 112,219,760.88/9,177.70
  6. Step 6: Final answer
    x = 12,227.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.