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Finding the Fourth Proportional to 7,836.39, 11,758.23 and 7,493.76

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Solution

The fourth proportional to 7,836.39, 11,758.23 and 7,493.76 is: 11,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.39 : 11,758.23 = 7,493.76 : x
  2. Step 2: Convert to fraction form
    7,836.39/11,758.23 = 7,493.76/x
  3. Step 3: Cross multiply
    7,836.39x = 11,758.23 × 7,493.76
  4. Step 4: Simplify right side
    7,836.39x = 88,113,353.64
  5. Step 5: Solve for x
    x = 88,113,353.64/7,836.39
  6. Step 6: Final answer
    x = 11,244.13

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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.