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Finding the Fourth Proportional to 8,083.84, 12,136.16 and 5,175.04

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Solution

The fourth proportional to 8,083.84, 12,136.16 and 5,175.04 is: 7,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.84 : 12,136.16 = 5,175.04 : x
  2. Step 2: Convert to fraction form
    8,083.84/12,136.16 = 5,175.04/x
  3. Step 3: Cross multiply
    8,083.84x = 12,136.16 × 5,175.04
  4. Step 4: Simplify right side
    8,083.84x = 62,805,113.45
  5. Step 5: Solve for x
    x = 62,805,113.45/8,083.84
  6. Step 6: Final answer
    x = 7,769.22

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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.