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Finding the Fourth Proportional to 7,818.62, 11,728.90 and 2,552.22

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Solution

The fourth proportional to 7,818.62, 11,728.90 and 2,552.22 is: 3,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.62 : 11,728.90 = 2,552.22 : x
  2. Step 2: Convert to fraction form
    7,818.62/11,728.90 = 2,552.22/x
  3. Step 3: Cross multiply
    7,818.62x = 11,728.90 × 2,552.22
  4. Step 4: Simplify right side
    7,818.62x = 29,934,721.99
  5. Step 5: Solve for x
    x = 29,934,721.99/7,818.62
  6. Step 6: Final answer
    x = 3,828.64

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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.