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Finding the Fourth Proportional to 7,846.62, 11,825.04 and 7,067.58

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Solution

The fourth proportional to 7,846.62, 11,825.04 and 7,067.58 is: 10,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.62 : 11,825.04 = 7,067.58 : x
  2. Step 2: Convert to fraction form
    7,846.62/11,825.04 = 7,067.58/x
  3. Step 3: Cross multiply
    7,846.62x = 11,825.04 × 7,067.58
  4. Step 4: Simplify right side
    7,846.62x = 83,574,416.20
  5. Step 5: Solve for x
    x = 83,574,416.20/7,846.62
  6. Step 6: Final answer
    x = 10,651.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.