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Finding the Fourth Proportional to 23,071, 34,612.28 and 6,655

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Solution

The fourth proportional to 23,071, 34,612.28 and 6,655 is: 9,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071 : 34,612.28 = 6,655 : x
  2. Step 2: Convert to fraction form
    23,071/34,612.28 = 6,655/x
  3. Step 3: Cross multiply
    23,071x = 34,612.28 × 6,655
  4. Step 4: Simplify right side
    23,071x = 230,344,723.40
  5. Step 5: Solve for x
    x = 230,344,723.40/23,071
  6. Step 6: Final answer
    x = 9,984.17

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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.