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Finding the Fourth Proportional to 9,766.76, 14,634.77 and 7,551

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Solution

The fourth proportional to 9,766.76, 14,634.77 and 7,551 is: 11,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.76 : 14,634.77 = 7,551 : x
  2. Step 2: Convert to fraction form
    9,766.76/14,634.77 = 7,551/x
  3. Step 3: Cross multiply
    9,766.76x = 14,634.77 × 7,551
  4. Step 4: Simplify right side
    9,766.76x = 110,507,110.52
  5. Step 5: Solve for x
    x = 110,507,110.52/9,766.76
  6. Step 6: Final answer
    x = 11,314.62

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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.