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Finding the Fourth Proportional to 6,649.95, 9,179.96 and 4,737

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Solution

The fourth proportional to 6,649.95, 9,179.96 and 4,737 is: 6,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.95 : 9,179.96 = 4,737 : x
  2. Step 2: Convert to fraction form
    6,649.95/9,179.96 = 4,737/x
  3. Step 3: Cross multiply
    6,649.95x = 9,179.96 × 4,737
  4. Step 4: Simplify right side
    6,649.95x = 43,485,446.84
  5. Step 5: Solve for x
    x = 43,485,446.84/6,649.95
  6. Step 6: Final answer
    x = 6,539.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.