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Finding the Fourth Proportional to 6,813.76, 10,212.09 and 2,913.58

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Solution

The fourth proportional to 6,813.76, 10,212.09 and 2,913.58 is: 4,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.76 : 10,212.09 = 2,913.58 : x
  2. Step 2: Convert to fraction form
    6,813.76/10,212.09 = 2,913.58/x
  3. Step 3: Cross multiply
    6,813.76x = 10,212.09 × 2,913.58
  4. Step 4: Simplify right side
    6,813.76x = 29,753,741.18
  5. Step 5: Solve for x
    x = 29,753,741.18/6,813.76
  6. Step 6: Final answer
    x = 4,366.71

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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.