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Finding the Fourth Proportional to 8,411.67, 11,600.69 and 6,173.24

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Solution

The fourth proportional to 8,411.67, 11,600.69 and 6,173.24 is: 8,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.67 : 11,600.69 = 6,173.24 : x
  2. Step 2: Convert to fraction form
    8,411.67/11,600.69 = 6,173.24/x
  3. Step 3: Cross multiply
    8,411.67x = 11,600.69 × 6,173.24
  4. Step 4: Simplify right side
    8,411.67x = 71,613,754.67
  5. Step 5: Solve for x
    x = 71,613,754.67/8,411.67
  6. Step 6: Final answer
    x = 8,513.62

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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.