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Finding the Fourth Proportional to 7,652, 11,476.38 and 6,199.40

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Solution

The fourth proportional to 7,652, 11,476.38 and 6,199.40 is: 9,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652 : 11,476.38 = 6,199.40 : x
  2. Step 2: Convert to fraction form
    7,652/11,476.38 = 6,199.40/x
  3. Step 3: Cross multiply
    7,652x = 11,476.38 × 6,199.40
  4. Step 4: Simplify right side
    7,652x = 71,146,670.17
  5. Step 5: Solve for x
    x = 71,146,670.17/7,652
  6. Step 6: Final answer
    x = 9,297.79

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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.