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Finding the Fourth Proportional to 7,657.14, 11,472.10 and 3,205

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Solution

The fourth proportional to 7,657.14, 11,472.10 and 3,205 is: 4,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.14 : 11,472.10 = 3,205 : x
  2. Step 2: Convert to fraction form
    7,657.14/11,472.10 = 3,205/x
  3. Step 3: Cross multiply
    7,657.14x = 11,472.10 × 3,205
  4. Step 4: Simplify right side
    7,657.14x = 36,768,080.50
  5. Step 5: Solve for x
    x = 36,768,080.50/7,657.14
  6. Step 6: Final answer
    x = 4,801.80

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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.