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Finding the Fourth Proportional to 6,147.84, 9,221.64 and 3,683.34

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Solution

The fourth proportional to 6,147.84, 9,221.64 and 3,683.34 is: 5,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.84 : 9,221.64 = 3,683.34 : x
  2. Step 2: Convert to fraction form
    6,147.84/9,221.64 = 3,683.34/x
  3. Step 3: Cross multiply
    6,147.84x = 9,221.64 × 3,683.34
  4. Step 4: Simplify right side
    6,147.84x = 33,966,435.48
  5. Step 5: Solve for x
    x = 33,966,435.48/6,147.84
  6. Step 6: Final answer
    x = 5,524.94

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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.