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Finding the Fourth Proportional to 5,213.66, 7,206.10 and 4,611.89

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Solution

The fourth proportional to 5,213.66, 7,206.10 and 4,611.89 is: 6,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.66 : 7,206.10 = 4,611.89 : x
  2. Step 2: Convert to fraction form
    5,213.66/7,206.10 = 4,611.89/x
  3. Step 3: Cross multiply
    5,213.66x = 7,206.10 × 4,611.89
  4. Step 4: Simplify right side
    5,213.66x = 33,233,747.01
  5. Step 5: Solve for x
    x = 33,233,747.01/5,213.66
  6. Step 6: Final answer
    x = 6,374.37

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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.