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Finding the Fourth Proportional to 10,674, 16,012.83 and 4,009.92

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Solution

The fourth proportional to 10,674, 16,012.83 and 4,009.92 is: 6,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674 : 16,012.83 = 4,009.92 : x
  2. Step 2: Convert to fraction form
    10,674/16,012.83 = 4,009.92/x
  3. Step 3: Cross multiply
    10,674x = 16,012.83 × 4,009.92
  4. Step 4: Simplify right side
    10,674x = 64,210,167.27
  5. Step 5: Solve for x
    x = 64,210,167.27/10,674
  6. Step 6: Final answer
    x = 6,015.57

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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.