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Finding the Fourth Proportional to 6,542.70, 9,815.68 and 2,384.98

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Solution

The fourth proportional to 6,542.70, 9,815.68 and 2,384.98 is: 3,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.70 : 9,815.68 = 2,384.98 : x
  2. Step 2: Convert to fraction form
    6,542.70/9,815.68 = 2,384.98/x
  3. Step 3: Cross multiply
    6,542.70x = 9,815.68 × 2,384.98
  4. Step 4: Simplify right side
    6,542.70x = 23,410,200.49
  5. Step 5: Solve for x
    x = 23,410,200.49/6,542.70
  6. Step 6: Final answer
    x = 3,578.06

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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.