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Finding the Fourth Proportional to 6,894.26, 9,513.57 and 4,241.71

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Solution

The fourth proportional to 6,894.26, 9,513.57 and 4,241.71 is: 5,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.26 : 9,513.57 = 4,241.71 : x
  2. Step 2: Convert to fraction form
    6,894.26/9,513.57 = 4,241.71/x
  3. Step 3: Cross multiply
    6,894.26x = 9,513.57 × 4,241.71
  4. Step 4: Simplify right side
    6,894.26x = 40,353,781.22
  5. Step 5: Solve for x
    x = 40,353,781.22/6,894.26
  6. Step 6: Final answer
    x = 5,853.25

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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.