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Finding the Fourth Proportional to 6,170.55, 9,255.48 and 2,274.63

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Solution

The fourth proportional to 6,170.55, 9,255.48 and 2,274.63 is: 3,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.55 : 9,255.48 = 2,274.63 : x
  2. Step 2: Convert to fraction form
    6,170.55/9,255.48 = 2,274.63/x
  3. Step 3: Cross multiply
    6,170.55x = 9,255.48 × 2,274.63
  4. Step 4: Simplify right side
    6,170.55x = 21,052,792.47
  5. Step 5: Solve for x
    x = 21,052,792.47/6,170.55
  6. Step 6: Final answer
    x = 3,411.82

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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.