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Finding the Fourth Proportional to 4,613.84, 6,916.92 and 3,149.36

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Solution

The fourth proportional to 4,613.84, 6,916.92 and 3,149.36 is: 4,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.84 : 6,916.92 = 3,149.36 : x
  2. Step 2: Convert to fraction form
    4,613.84/6,916.92 = 3,149.36/x
  3. Step 3: Cross multiply
    4,613.84x = 6,916.92 × 3,149.36
  4. Step 4: Simplify right side
    4,613.84x = 21,783,871.17
  5. Step 5: Solve for x
    x = 21,783,871.17/4,613.84
  6. Step 6: Final answer
    x = 4,721.42

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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.