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Finding the Fourth Proportional to 7,680.86, 11,522.10 and 2,134.22

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Solution

The fourth proportional to 7,680.86, 11,522.10 and 2,134.22 is: 3,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.86 : 11,522.10 = 2,134.22 : x
  2. Step 2: Convert to fraction form
    7,680.86/11,522.10 = 2,134.22/x
  3. Step 3: Cross multiply
    7,680.86x = 11,522.10 × 2,134.22
  4. Step 4: Simplify right side
    7,680.86x = 24,590,638.65
  5. Step 5: Solve for x
    x = 24,590,638.65/7,680.86
  6. Step 6: Final answer
    x = 3,201.55

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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.