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Finding the Fourth Proportional to 7,598.51, 11,398.97 and 3,216

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Solution

The fourth proportional to 7,598.51, 11,398.97 and 3,216 is: 4,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.51 : 11,398.97 = 3,216 : x
  2. Step 2: Convert to fraction form
    7,598.51/11,398.97 = 3,216/x
  3. Step 3: Cross multiply
    7,598.51x = 11,398.97 × 3,216
  4. Step 4: Simplify right side
    7,598.51x = 36,659,087.52
  5. Step 5: Solve for x
    x = 36,659,087.52/7,598.51
  6. Step 6: Final answer
    x = 4,824.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.