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Finding the Fourth Proportional to 6,166.95, 9,255.29 and 2,274.09

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Solution

The fourth proportional to 6,166.95, 9,255.29 and 2,274.09 is: 3,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.95 : 9,255.29 = 2,274.09 : x
  2. Step 2: Convert to fraction form
    6,166.95/9,255.29 = 2,274.09/x
  3. Step 3: Cross multiply
    6,166.95x = 9,255.29 × 2,274.09
  4. Step 4: Simplify right side
    6,166.95x = 21,047,351.07
  5. Step 5: Solve for x
    x = 21,047,351.07/6,166.95
  6. Step 6: Final answer
    x = 3,412.93

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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.