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Finding the Fourth Proportional to 6,657.12, 9,985.67 and 2,274.61

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Solution

The fourth proportional to 6,657.12, 9,985.67 and 2,274.61 is: 3,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.12 : 9,985.67 = 2,274.61 : x
  2. Step 2: Convert to fraction form
    6,657.12/9,985.67 = 2,274.61/x
  3. Step 3: Cross multiply
    6,657.12x = 9,985.67 × 2,274.61
  4. Step 4: Simplify right side
    6,657.12x = 22,713,504.84
  5. Step 5: Solve for x
    x = 22,713,504.84/6,657.12
  6. Step 6: Final answer
    x = 3,411.91

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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.