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Finding the Fourth Proportional to 6,652, 9,978.05 and 2,953.24

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Solution

The fourth proportional to 6,652, 9,978.05 and 2,953.24 is: 4,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652 : 9,978.05 = 2,953.24 : x
  2. Step 2: Convert to fraction form
    6,652/9,978.05 = 2,953.24/x
  3. Step 3: Cross multiply
    6,652x = 9,978.05 × 2,953.24
  4. Step 4: Simplify right side
    6,652x = 29,467,576.38
  5. Step 5: Solve for x
    x = 29,467,576.38/6,652
  6. Step 6: Final answer
    x = 4,429.88

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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.