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Finding the Fourth Proportional to 6,951.12, 10,428.24 and 2,334

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Solution

The fourth proportional to 6,951.12, 10,428.24 and 2,334 is: 3,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.12 : 10,428.24 = 2,334 : x
  2. Step 2: Convert to fraction form
    6,951.12/10,428.24 = 2,334/x
  3. Step 3: Cross multiply
    6,951.12x = 10,428.24 × 2,334
  4. Step 4: Simplify right side
    6,951.12x = 24,339,512.16
  5. Step 5: Solve for x
    x = 24,339,512.16/6,951.12
  6. Step 6: Final answer
    x = 3,501.52

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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.