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Finding the Fourth Proportional to 6,485.20, 9,706.20 and 5,707.60

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Solution

The fourth proportional to 6,485.20, 9,706.20 and 5,707.60 is: 8,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.20 : 9,706.20 = 5,707.60 : x
  2. Step 2: Convert to fraction form
    6,485.20/9,706.20 = 5,707.60/x
  3. Step 3: Cross multiply
    6,485.20x = 9,706.20 × 5,707.60
  4. Step 4: Simplify right side
    6,485.20x = 55,399,107.12
  5. Step 5: Solve for x
    x = 55,399,107.12/6,485.20
  6. Step 6: Final answer
    x = 8,542.39

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1.5x scale

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.