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Finding the Fourth Proportional to 7,772.62, 10,726.20 and 4,235.82

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Solution

The fourth proportional to 7,772.62, 10,726.20 and 4,235.82 is: 5,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.62 : 10,726.20 = 4,235.82 : x
  2. Step 2: Convert to fraction form
    7,772.62/10,726.20 = 4,235.82/x
  3. Step 3: Cross multiply
    7,772.62x = 10,726.20 × 4,235.82
  4. Step 4: Simplify right side
    7,772.62x = 45,434,252.48
  5. Step 5: Solve for x
    x = 45,434,252.48/7,772.62
  6. Step 6: Final answer
    x = 5,845.42

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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.