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Finding the Fourth Proportional to 6,504.80, 9,757.20 and 5,046.80

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Solution

The fourth proportional to 6,504.80, 9,757.20 and 5,046.80 is: 7,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.80 : 9,757.20 = 5,046.80 : x
  2. Step 2: Convert to fraction form
    6,504.80/9,757.20 = 5,046.80/x
  3. Step 3: Cross multiply
    6,504.80x = 9,757.20 × 5,046.80
  4. Step 4: Simplify right side
    6,504.80x = 49,242,636.96
  5. Step 5: Solve for x
    x = 49,242,636.96/6,504.80
  6. Step 6: Final answer
    x = 7,570.20

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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.