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Finding the Fourth Proportional to 6,095.97, 8,411.96 and 3,443.64

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Solution

The fourth proportional to 6,095.97, 8,411.96 and 3,443.64 is: 4,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.97 : 8,411.96 = 3,443.64 : x
  2. Step 2: Convert to fraction form
    6,095.97/8,411.96 = 3,443.64/x
  3. Step 3: Cross multiply
    6,095.97x = 8,411.96 × 3,443.64
  4. Step 4: Simplify right side
    6,095.97x = 28,967,761.93
  5. Step 5: Solve for x
    x = 28,967,761.93/6,095.97
  6. Step 6: Final answer
    x = 4,751.95

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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.