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Finding the Fourth Proportional to 6,340.87, 9,511.76 and 1,957.76

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Solution

The fourth proportional to 6,340.87, 9,511.76 and 1,957.76 is: 2,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.87 : 9,511.76 = 1,957.76 : x
  2. Step 2: Convert to fraction form
    6,340.87/9,511.76 = 1,957.76/x
  3. Step 3: Cross multiply
    6,340.87x = 9,511.76 × 1,957.76
  4. Step 4: Simplify right side
    6,340.87x = 18,621,685.91
  5. Step 5: Solve for x
    x = 18,621,685.91/6,340.87
  6. Step 6: Final answer
    x = 2,936.77

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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.