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Finding the Fourth Proportional to 7,781.66, 10,738.69 and 4,244.89

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Solution

The fourth proportional to 7,781.66, 10,738.69 and 4,244.89 is: 5,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.66 : 10,738.69 = 4,244.89 : x
  2. Step 2: Convert to fraction form
    7,781.66/10,738.69 = 4,244.89/x
  3. Step 3: Cross multiply
    7,781.66x = 10,738.69 × 4,244.89
  4. Step 4: Simplify right side
    7,781.66x = 45,584,557.79
  5. Step 5: Solve for x
    x = 45,584,557.79/7,781.66
  6. Step 6: Final answer
    x = 5,857.95

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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.