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Finding the Fourth Proportional to 6,185.62, 8,537.08 and 4,869.23

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Solution

The fourth proportional to 6,185.62, 8,537.08 and 4,869.23 is: 6,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.62 : 8,537.08 = 4,869.23 : x
  2. Step 2: Convert to fraction form
    6,185.62/8,537.08 = 4,869.23/x
  3. Step 3: Cross multiply
    6,185.62x = 8,537.08 × 4,869.23
  4. Step 4: Simplify right side
    6,185.62x = 41,569,006.05
  5. Step 5: Solve for x
    x = 41,569,006.05/6,185.62
  6. Step 6: Final answer
    x = 6,720.27

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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.