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Finding the Fourth Proportional to 10,606.14, 15,903 and 4,032.81

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Solution

The fourth proportional to 10,606.14, 15,903 and 4,032.81 is: 6,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.14 : 15,903 = 4,032.81 : x
  2. Step 2: Convert to fraction form
    10,606.14/15,903 = 4,032.81/x
  3. Step 3: Cross multiply
    10,606.14x = 15,903 × 4,032.81
  4. Step 4: Simplify right side
    10,606.14x = 64,133,777.43
  5. Step 5: Solve for x
    x = 64,133,777.43/10,606.14
  6. Step 6: Final answer
    x = 6,046.85

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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.