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Finding the Fourth Proportional to 6,504.60, 9,728.10 and 5,467.80

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Solution

The fourth proportional to 6,504.60, 9,728.10 and 5,467.80 is: 8,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.60 : 9,728.10 = 5,467.80 : x
  2. Step 2: Convert to fraction form
    6,504.60/9,728.10 = 5,467.80/x
  3. Step 3: Cross multiply
    6,504.60x = 9,728.10 × 5,467.80
  4. Step 4: Simplify right side
    6,504.60x = 53,191,305.18
  5. Step 5: Solve for x
    x = 53,191,305.18/6,504.60
  6. Step 6: Final answer
    x = 8,177.49

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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.