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Finding the Fourth Proportional to 6,831, 9,446.22 and 6,521.58

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Solution

The fourth proportional to 6,831, 9,446.22 and 6,521.58 is: 9,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 9,446.22 = 6,521.58 : x
  2. Step 2: Convert to fraction form
    6,831/9,446.22 = 6,521.58/x
  3. Step 3: Cross multiply
    6,831x = 9,446.22 × 6,521.58
  4. Step 4: Simplify right side
    6,831x = 61,604,279.43
  5. Step 5: Solve for x
    x = 61,604,279.43/6,831
  6. Step 6: Final answer
    x = 9,018.34

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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.