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Finding the Fourth Proportional to 7,067.76, 9,746.28 and 4,832.88

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Solution

The fourth proportional to 7,067.76, 9,746.28 and 4,832.88 is: 6,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.76 : 9,746.28 = 4,832.88 : x
  2. Step 2: Convert to fraction form
    7,067.76/9,746.28 = 4,832.88/x
  3. Step 3: Cross multiply
    7,067.76x = 9,746.28 × 4,832.88
  4. Step 4: Simplify right side
    7,067.76x = 47,102,601.69
  5. Step 5: Solve for x
    x = 47,102,601.69/7,067.76
  6. Step 6: Final answer
    x = 6,664.43

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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.