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Finding the Fourth Proportional to 7,655.41, 11,481.76 and 2,107.41

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Solution

The fourth proportional to 7,655.41, 11,481.76 and 2,107.41 is: 3,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.41 : 11,481.76 = 2,107.41 : x
  2. Step 2: Convert to fraction form
    7,655.41/11,481.76 = 2,107.41/x
  3. Step 3: Cross multiply
    7,655.41x = 11,481.76 × 2,107.41
  4. Step 4: Simplify right side
    7,655.41x = 24,196,775.84
  5. Step 5: Solve for x
    x = 24,196,775.84/7,655.41
  6. Step 6: Final answer
    x = 3,160.74

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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.