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Finding the Fourth Proportional to 7,771.97, 11,657.84 and 1,928.58

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Solution

The fourth proportional to 7,771.97, 11,657.84 and 1,928.58 is: 2,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.97 : 11,657.84 = 1,928.58 : x
  2. Step 2: Convert to fraction form
    7,771.97/11,657.84 = 1,928.58/x
  3. Step 3: Cross multiply
    7,771.97x = 11,657.84 × 1,928.58
  4. Step 4: Simplify right side
    7,771.97x = 22,483,077.07
  5. Step 5: Solve for x
    x = 22,483,077.07/7,771.97
  6. Step 6: Final answer
    x = 2,892.84

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1.5x scale

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.