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Finding the Fourth Proportional to 6,656.46, 9,985.88 and 2,272.89

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Solution

The fourth proportional to 6,656.46, 9,985.88 and 2,272.89 is: 3,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.46 : 9,985.88 = 2,272.89 : x
  2. Step 2: Convert to fraction form
    6,656.46/9,985.88 = 2,272.89/x
  3. Step 3: Cross multiply
    6,656.46x = 9,985.88 × 2,272.89
  4. Step 4: Simplify right side
    6,656.46x = 22,696,820.39
  5. Step 5: Solve for x
    x = 22,696,820.39/6,656.46
  6. Step 6: Final answer
    x = 3,409.74

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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.