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Finding the Fourth Proportional to 6,513.84, 9,772.38 and 1,896.84

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Solution

The fourth proportional to 6,513.84, 9,772.38 and 1,896.84 is: 2,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.84 : 9,772.38 = 1,896.84 : x
  2. Step 2: Convert to fraction form
    6,513.84/9,772.38 = 1,896.84/x
  3. Step 3: Cross multiply
    6,513.84x = 9,772.38 × 1,896.84
  4. Step 4: Simplify right side
    6,513.84x = 18,536,641.28
  5. Step 5: Solve for x
    x = 18,536,641.28/6,513.84
  6. Step 6: Final answer
    x = 2,845.73

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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.