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Finding the Fourth Proportional to 6,905.71, 10,362.28 and 3,009.88

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Solution

The fourth proportional to 6,905.71, 10,362.28 and 3,009.88 is: 4,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.71 : 10,362.28 = 3,009.88 : x
  2. Step 2: Convert to fraction form
    6,905.71/10,362.28 = 3,009.88/x
  3. Step 3: Cross multiply
    6,905.71x = 10,362.28 × 3,009.88
  4. Step 4: Simplify right side
    6,905.71x = 31,189,219.33
  5. Step 5: Solve for x
    x = 31,189,219.33/6,905.71
  6. Step 6: Final answer
    x = 4,516.44

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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.