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Finding the Fourth Proportional to 7,781.77, 10,738.63 and 4,244.98

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Solution

The fourth proportional to 7,781.77, 10,738.63 and 4,244.98 is: 5,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.77 : 10,738.63 = 4,244.98 : x
  2. Step 2: Convert to fraction form
    7,781.77/10,738.63 = 4,244.98/x
  3. Step 3: Cross multiply
    7,781.77x = 10,738.63 × 4,244.98
  4. Step 4: Simplify right side
    7,781.77x = 45,585,269.58
  5. Step 5: Solve for x
    x = 45,585,269.58/7,781.77
  6. Step 6: Final answer
    x = 5,857.96

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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.