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Finding the Fourth Proportional to 10,652.64, 16,002 and 9,012.48

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Solution

The fourth proportional to 10,652.64, 16,002 and 9,012.48 is: 13,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.64 : 16,002 = 9,012.48 : x
  2. Step 2: Convert to fraction form
    10,652.64/16,002 = 9,012.48/x
  3. Step 3: Cross multiply
    10,652.64x = 16,002 × 9,012.48
  4. Step 4: Simplify right side
    10,652.64x = 144,217,704.96
  5. Step 5: Solve for x
    x = 144,217,704.96/10,652.64
  6. Step 6: Final answer
    x = 13,538.21

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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.