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Finding the Fourth Proportional to 7,700.82, 11,468.16 and 7,202.58

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Solution

The fourth proportional to 7,700.82, 11,468.16 and 7,202.58 is: 10,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.82 : 11,468.16 = 7,202.58 : x
  2. Step 2: Convert to fraction form
    7,700.82/11,468.16 = 7,202.58/x
  3. Step 3: Cross multiply
    7,700.82x = 11,468.16 × 7,202.58
  4. Step 4: Simplify right side
    7,700.82x = 82,600,339.85
  5. Step 5: Solve for x
    x = 82,600,339.85/7,700.82
  6. Step 6: Final answer
    x = 10,726.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.