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Finding the Fourth Proportional to 6,649.96, 9,966.24 and 4,807.24

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Solution

The fourth proportional to 6,649.96, 9,966.24 and 4,807.24 is: 7,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.96 : 9,966.24 = 4,807.24 : x
  2. Step 2: Convert to fraction form
    6,649.96/9,966.24 = 4,807.24/x
  3. Step 3: Cross multiply
    6,649.96x = 9,966.24 × 4,807.24
  4. Step 4: Simplify right side
    6,649.96x = 47,910,107.58
  5. Step 5: Solve for x
    x = 47,910,107.58/6,649.96
  6. Step 6: Final answer
    x = 7,204.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.