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Finding the Fourth Proportional to 17,854.27, 26,781 and 6,166.39

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Solution

The fourth proportional to 17,854.27, 26,781 and 6,166.39 is: 9,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.27 : 26,781 = 6,166.39 : x
  2. Step 2: Convert to fraction form
    17,854.27/26,781 = 6,166.39/x
  3. Step 3: Cross multiply
    17,854.27x = 26,781 × 6,166.39
  4. Step 4: Simplify right side
    17,854.27x = 165,142,090.59
  5. Step 5: Solve for x
    x = 165,142,090.59/17,854.27
  6. Step 6: Final answer
    x = 9,249.45

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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.