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Finding the Fourth Proportional to 4,627.24, 6,965.83 and 4,225.48

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Solution

The fourth proportional to 4,627.24, 6,965.83 and 4,225.48 is: 6,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.24 : 6,965.83 = 4,225.48 : x
  2. Step 2: Convert to fraction form
    4,627.24/6,965.83 = 4,225.48/x
  3. Step 3: Cross multiply
    4,627.24x = 6,965.83 × 4,225.48
  4. Step 4: Simplify right side
    4,627.24x = 29,433,975.35
  5. Step 5: Solve for x
    x = 29,433,975.35/4,627.24
  6. Step 6: Final answer
    x = 6,361.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.