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Finding the Fourth Proportional to 9,598, 13,249.68 and 6,767.68

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Solution

The fourth proportional to 9,598, 13,249.68 and 6,767.68 is: 9,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598 : 13,249.68 = 6,767.68 : x
  2. Step 2: Convert to fraction form
    9,598/13,249.68 = 6,767.68/x
  3. Step 3: Cross multiply
    9,598x = 13,249.68 × 6,767.68
  4. Step 4: Simplify right side
    9,598x = 89,669,594.34
  5. Step 5: Solve for x
    x = 89,669,594.34/9,598
  6. Step 6: Final answer
    x = 9,342.53

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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.