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Finding the Fourth Proportional to 9,410.95, 12,954.51 and 8,134.24

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Solution

The fourth proportional to 9,410.95, 12,954.51 and 8,134.24 is: 11,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.95 : 12,954.51 = 8,134.24 : x
  2. Step 2: Convert to fraction form
    9,410.95/12,954.51 = 8,134.24/x
  3. Step 3: Cross multiply
    9,410.95x = 12,954.51 × 8,134.24
  4. Step 4: Simplify right side
    9,410.95x = 105,375,093.42
  5. Step 5: Solve for x
    x = 105,375,093.42/9,410.95
  6. Step 6: Final answer
    x = 11,197.07

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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.