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Finding the Fourth Proportional to 6,524.96, 9,768 and 6,291.68

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Solution

The fourth proportional to 6,524.96, 9,768 and 6,291.68 is: 9,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.96 : 9,768 = 6,291.68 : x
  2. Step 2: Convert to fraction form
    6,524.96/9,768 = 6,291.68/x
  3. Step 3: Cross multiply
    6,524.96x = 9,768 × 6,291.68
  4. Step 4: Simplify right side
    6,524.96x = 61,457,130.24
  5. Step 5: Solve for x
    x = 61,457,130.24/6,524.96
  6. Step 6: Final answer
    x = 9,418.78

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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.