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Finding the Fourth Proportional to 5,164.71, 7,747.07 and 1,269.12

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Solution

The fourth proportional to 5,164.71, 7,747.07 and 1,269.12 is: 1,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.71 : 7,747.07 = 1,269.12 : x
  2. Step 2: Convert to fraction form
    5,164.71/7,747.07 = 1,269.12/x
  3. Step 3: Cross multiply
    5,164.71x = 7,747.07 × 1,269.12
  4. Step 4: Simplify right side
    5,164.71x = 9,831,961.48
  5. Step 5: Solve for x
    x = 9,831,961.48/5,164.71
  6. Step 6: Final answer
    x = 1,903.68

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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.