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Finding the Fourth Proportional to 6,735.55, 10,104.54 and 2,784.66

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Solution

The fourth proportional to 6,735.55, 10,104.54 and 2,784.66 is: 4,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.55 : 10,104.54 = 2,784.66 : x
  2. Step 2: Convert to fraction form
    6,735.55/10,104.54 = 2,784.66/x
  3. Step 3: Cross multiply
    6,735.55x = 10,104.54 × 2,784.66
  4. Step 4: Simplify right side
    6,735.55x = 28,137,718.80
  5. Step 5: Solve for x
    x = 28,137,718.80/6,735.55
  6. Step 6: Final answer
    x = 4,177.50

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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.