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Finding the Fourth Proportional to 6,551, 9,039.83 and 4,565.82

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Solution

The fourth proportional to 6,551, 9,039.83 and 4,565.82 is: 6,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551 : 9,039.83 = 4,565.82 : x
  2. Step 2: Convert to fraction form
    6,551/9,039.83 = 4,565.82/x
  3. Step 3: Cross multiply
    6,551x = 9,039.83 × 4,565.82
  4. Step 4: Simplify right side
    6,551x = 41,274,236.61
  5. Step 5: Solve for x
    x = 41,274,236.61/6,551
  6. Step 6: Final answer
    x = 6,300.45

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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.