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Finding the Fourth Proportional to 6,649.79, 9,962.21 and 5,965.13

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Solution

The fourth proportional to 6,649.79, 9,962.21 and 5,965.13 is: 8,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.79 : 9,962.21 = 5,965.13 : x
  2. Step 2: Convert to fraction form
    6,649.79/9,962.21 = 5,965.13/x
  3. Step 3: Cross multiply
    6,649.79x = 9,962.21 × 5,965.13
  4. Step 4: Simplify right side
    6,649.79x = 59,425,798.10
  5. Step 5: Solve for x
    x = 59,425,798.10/6,649.79
  6. Step 6: Final answer
    x = 8,936.50

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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.