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Finding the Fourth Proportional to 6,771.36, 9,348.24 and 4,536.24

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Solution

The fourth proportional to 6,771.36, 9,348.24 and 4,536.24 is: 6,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.36 : 9,348.24 = 4,536.24 : x
  2. Step 2: Convert to fraction form
    6,771.36/9,348.24 = 4,536.24/x
  3. Step 3: Cross multiply
    6,771.36x = 9,348.24 × 4,536.24
  4. Step 4: Simplify right side
    6,771.36x = 42,405,860.22
  5. Step 5: Solve for x
    x = 42,405,860.22/6,771.36
  6. Step 6: Final answer
    x = 6,262.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.