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Finding the Fourth Proportional to 8,506.26, 11,737.71 and 4,969.26

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Solution

The fourth proportional to 8,506.26, 11,737.71 and 4,969.26 is: 6,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.26 : 11,737.71 = 4,969.26 : x
  2. Step 2: Convert to fraction form
    8,506.26/11,737.71 = 4,969.26/x
  3. Step 3: Cross multiply
    8,506.26x = 11,737.71 × 4,969.26
  4. Step 4: Simplify right side
    8,506.26x = 58,327,732.79
  5. Step 5: Solve for x
    x = 58,327,732.79/8,506.26
  6. Step 6: Final answer
    x = 6,857.04

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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.