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Finding the Fourth Proportional to 12,071.70, 18,093.51 and 7,145.46

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Solution

The fourth proportional to 12,071.70, 18,093.51 and 7,145.46 is: 10,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.70 : 18,093.51 = 7,145.46 : x
  2. Step 2: Convert to fraction form
    12,071.70/18,093.51 = 7,145.46/x
  3. Step 3: Cross multiply
    12,071.70x = 18,093.51 × 7,145.46
  4. Step 4: Simplify right side
    12,071.70x = 129,286,451.96
  5. Step 5: Solve for x
    x = 129,286,451.96/12,071.70
  6. Step 6: Final answer
    x = 10,709.88

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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.