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Finding the Fourth Proportional to 7,780, 11,670 and 2,584.68

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Solution

The fourth proportional to 7,780, 11,670 and 2,584.68 is: 3,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780 : 11,670 = 2,584.68 : x
  2. Step 2: Convert to fraction form
    7,780/11,670 = 2,584.68/x
  3. Step 3: Cross multiply
    7,780x = 11,670 × 2,584.68
  4. Step 4: Simplify right side
    7,780x = 30,163,215.60
  5. Step 5: Solve for x
    x = 30,163,215.60/7,780
  6. Step 6: Final answer
    x = 3,877.02

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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.