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Finding the Fourth Proportional to 7,742.93, 11,612.94 and 2,194.94

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Solution

The fourth proportional to 7,742.93, 11,612.94 and 2,194.94 is: 3,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.93 : 11,612.94 = 2,194.94 : x
  2. Step 2: Convert to fraction form
    7,742.93/11,612.94 = 2,194.94/x
  3. Step 3: Cross multiply
    7,742.93x = 11,612.94 × 2,194.94
  4. Step 4: Simplify right side
    7,742.93x = 25,489,706.52
  5. Step 5: Solve for x
    x = 25,489,706.52/7,742.93
  6. Step 6: Final answer
    x = 3,292.00

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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.