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Finding the Fourth Proportional to 4,142, 6,213.36 and 1,064

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Solution

The fourth proportional to 4,142, 6,213.36 and 1,064 is: 1,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 6,213.36 = 1,064 : x
  2. Step 2: Convert to fraction form
    4,142/6,213.36 = 1,064/x
  3. Step 3: Cross multiply
    4,142x = 6,213.36 × 1,064
  4. Step 4: Simplify right side
    4,142x = 6,611,015.04
  5. Step 5: Solve for x
    x = 6,611,015.04/4,142
  6. Step 6: Final answer
    x = 1,596.09

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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.