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Finding the Fourth Proportional to 7,738, 10,678.64 and 4,201.21

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Solution

The fourth proportional to 7,738, 10,678.64 and 4,201.21 is: 5,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738 : 10,678.64 = 4,201.21 : x
  2. Step 2: Convert to fraction form
    7,738/10,678.64 = 4,201.21/x
  3. Step 3: Cross multiply
    7,738x = 10,678.64 × 4,201.21
  4. Step 4: Simplify right side
    7,738x = 44,863,209.15
  5. Step 5: Solve for x
    x = 44,863,209.15/7,738
  6. Step 6: Final answer
    x = 5,797.78

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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.