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Finding the Fourth Proportional to 6,070.80, 9,099.11 and 2,784.23

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Solution

The fourth proportional to 6,070.80, 9,099.11 and 2,784.23 is: 4,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.80 : 9,099.11 = 2,784.23 : x
  2. Step 2: Convert to fraction form
    6,070.80/9,099.11 = 2,784.23/x
  3. Step 3: Cross multiply
    6,070.80x = 9,099.11 × 2,784.23
  4. Step 4: Simplify right side
    6,070.80x = 25,333,976.50
  5. Step 5: Solve for x
    x = 25,333,976.50/6,070.80
  6. Step 6: Final answer
    x = 4,173.09

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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.