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Finding the Fourth Proportional to 6,710.80, 10,069.80 and 2,815.60

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Solution

The fourth proportional to 6,710.80, 10,069.80 and 2,815.60 is: 4,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.80 : 10,069.80 = 2,815.60 : x
  2. Step 2: Convert to fraction form
    6,710.80/10,069.80 = 2,815.60/x
  3. Step 3: Cross multiply
    6,710.80x = 10,069.80 × 2,815.60
  4. Step 4: Simplify right side
    6,710.80x = 28,352,528.88
  5. Step 5: Solve for x
    x = 28,352,528.88/6,710.80
  6. Step 6: Final answer
    x = 4,224.91

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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.