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Finding the Fourth Proportional to 6,505.68, 9,768.24 and 6,408.48

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Solution

The fourth proportional to 6,505.68, 9,768.24 and 6,408.48 is: 9,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.68 : 9,768.24 = 6,408.48 : x
  2. Step 2: Convert to fraction form
    6,505.68/9,768.24 = 6,408.48/x
  3. Step 3: Cross multiply
    6,505.68x = 9,768.24 × 6,408.48
  4. Step 4: Simplify right side
    6,505.68x = 62,599,570.68
  5. Step 5: Solve for x
    x = 62,599,570.68/6,505.68
  6. Step 6: Final answer
    x = 9,622.29

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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.