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Finding the Fourth Proportional to 7,874.91, 11,810.66 and 2,327.31

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Solution

The fourth proportional to 7,874.91, 11,810.66 and 2,327.31 is: 3,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.91 : 11,810.66 = 2,327.31 : x
  2. Step 2: Convert to fraction form
    7,874.91/11,810.66 = 2,327.31/x
  3. Step 3: Cross multiply
    7,874.91x = 11,810.66 × 2,327.31
  4. Step 4: Simplify right side
    7,874.91x = 27,487,055.49
  5. Step 5: Solve for x
    x = 27,487,055.49/7,874.91
  6. Step 6: Final answer
    x = 3,490.46

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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.