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Finding the Fourth Proportional to 6,185.69, 8,532.51 and 3,667

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Solution

The fourth proportional to 6,185.69, 8,532.51 and 3,667 is: 5,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.69 : 8,532.51 = 3,667 : x
  2. Step 2: Convert to fraction form
    6,185.69/8,532.51 = 3,667/x
  3. Step 3: Cross multiply
    6,185.69x = 8,532.51 × 3,667
  4. Step 4: Simplify right side
    6,185.69x = 31,288,714.17
  5. Step 5: Solve for x
    x = 31,288,714.17/6,185.69
  6. Step 6: Final answer
    x = 5,058.24

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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.