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Finding the Fourth Proportional to 5,204.76, 7,174.62 and 4,611.48

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Solution

The fourth proportional to 5,204.76, 7,174.62 and 4,611.48 is: 6,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.76 : 7,174.62 = 4,611.48 : x
  2. Step 2: Convert to fraction form
    5,204.76/7,174.62 = 4,611.48/x
  3. Step 3: Cross multiply
    5,204.76x = 7,174.62 × 4,611.48
  4. Step 4: Simplify right side
    5,204.76x = 33,085,616.64
  5. Step 5: Solve for x
    x = 33,085,616.64/5,204.76
  6. Step 6: Final answer
    x = 6,356.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.