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Finding the Fourth Proportional to 6,951.86, 10,428.93 and 2,270.52

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Solution

The fourth proportional to 6,951.86, 10,428.93 and 2,270.52 is: 3,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.86 : 10,428.93 = 2,270.52 : x
  2. Step 2: Convert to fraction form
    6,951.86/10,428.93 = 2,270.52/x
  3. Step 3: Cross multiply
    6,951.86x = 10,428.93 × 2,270.52
  4. Step 4: Simplify right side
    6,951.86x = 23,679,094.14
  5. Step 5: Solve for x
    x = 23,679,094.14/6,951.86
  6. Step 6: Final answer
    x = 3,406.15

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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.