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Finding the Fourth Proportional to 6,683.84, 9,223.52 and 3,658.84

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Solution

The fourth proportional to 6,683.84, 9,223.52 and 3,658.84 is: 5,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.84 : 9,223.52 = 3,658.84 : x
  2. Step 2: Convert to fraction form
    6,683.84/9,223.52 = 3,658.84/x
  3. Step 3: Cross multiply
    6,683.84x = 9,223.52 × 3,658.84
  4. Step 4: Simplify right side
    6,683.84x = 33,747,383.92
  5. Step 5: Solve for x
    x = 33,747,383.92/6,683.84
  6. Step 6: Final answer
    x = 5,049.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.