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Finding the Fourth Proportional to 6,340.83, 9,511.82 and 1,660.83

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Solution

The fourth proportional to 6,340.83, 9,511.82 and 1,660.83 is: 2,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.83 : 9,511.82 = 1,660.83 : x
  2. Step 2: Convert to fraction form
    6,340.83/9,511.82 = 1,660.83/x
  3. Step 3: Cross multiply
    6,340.83x = 9,511.82 × 1,660.83
  4. Step 4: Simplify right side
    6,340.83x = 15,797,507.71
  5. Step 5: Solve for x
    x = 15,797,507.71/6,340.83
  6. Step 6: Final answer
    x = 2,491.39

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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.