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Finding the Fourth Proportional to 11,676.14, 16,130.62 and 7,652.52

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Solution

The fourth proportional to 11,676.14, 16,130.62 and 7,652.52 is: 10,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.14 : 16,130.62 = 7,652.52 : x
  2. Step 2: Convert to fraction form
    11,676.14/16,130.62 = 7,652.52/x
  3. Step 3: Cross multiply
    11,676.14x = 16,130.62 × 7,652.52
  4. Step 4: Simplify right side
    11,676.14x = 123,439,812.54
  5. Step 5: Solve for x
    x = 123,439,812.54/11,676.14
  6. Step 6: Final answer
    x = 10,571.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.