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Finding the Fourth Proportional to 6,801.76, 10,202.64 and 3,513.16

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Solution

The fourth proportional to 6,801.76, 10,202.64 and 3,513.16 is: 5,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.76 : 10,202.64 = 3,513.16 : x
  2. Step 2: Convert to fraction form
    6,801.76/10,202.64 = 3,513.16/x
  3. Step 3: Cross multiply
    6,801.76x = 10,202.64 × 3,513.16
  4. Step 4: Simplify right side
    6,801.76x = 35,843,506.74
  5. Step 5: Solve for x
    x = 35,843,506.74/6,801.76
  6. Step 6: Final answer
    x = 5,269.74

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Similar ratio
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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.