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Finding the Fourth Proportional to 7,192.64, 9,926.64 and 4,396.48

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Solution

The fourth proportional to 7,192.64, 9,926.64 and 4,396.48 is: 6,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.64 : 9,926.64 = 4,396.48 : x
  2. Step 2: Convert to fraction form
    7,192.64/9,926.64 = 4,396.48/x
  3. Step 3: Cross multiply
    7,192.64x = 9,926.64 × 4,396.48
  4. Step 4: Simplify right side
    7,192.64x = 43,642,274.23
  5. Step 5: Solve for x
    x = 43,642,274.23/7,192.64
  6. Step 6: Final answer
    x = 6,067.63

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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.