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Finding the Fourth Proportional to 5,469.85, 7,531.10 and 4,970.98

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Solution

The fourth proportional to 5,469.85, 7,531.10 and 4,970.98 is: 6,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.85 : 7,531.10 = 4,970.98 : x
  2. Step 2: Convert to fraction form
    5,469.85/7,531.10 = 4,970.98/x
  3. Step 3: Cross multiply
    5,469.85x = 7,531.10 × 4,970.98
  4. Step 4: Simplify right side
    5,469.85x = 37,436,922.62
  5. Step 5: Solve for x
    x = 37,436,922.62/5,469.85
  6. Step 6: Final answer
    x = 6,844.23

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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.