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Finding the Fourth Proportional to 6,118.56, 9,175.05 and 4,270.50

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Solution

The fourth proportional to 6,118.56, 9,175.05 and 4,270.50 is: 6,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.56 : 9,175.05 = 4,270.50 : x
  2. Step 2: Convert to fraction form
    6,118.56/9,175.05 = 4,270.50/x
  3. Step 3: Cross multiply
    6,118.56x = 9,175.05 × 4,270.50
  4. Step 4: Simplify right side
    6,118.56x = 39,182,051.03
  5. Step 5: Solve for x
    x = 39,182,051.03/6,118.56
  6. Step 6: Final answer
    x = 6,403.80

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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.