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Finding the Fourth Proportional to 9,666.38, 14,500.28 and 3,002

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Solution

The fourth proportional to 9,666.38, 14,500.28 and 3,002 is: 4,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.38 : 14,500.28 = 3,002 : x
  2. Step 2: Convert to fraction form
    9,666.38/14,500.28 = 3,002/x
  3. Step 3: Cross multiply
    9,666.38x = 14,500.28 × 3,002
  4. Step 4: Simplify right side
    9,666.38x = 43,529,840.56
  5. Step 5: Solve for x
    x = 43,529,840.56/9,666.38
  6. Step 6: Final answer
    x = 4,503.22

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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.