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Finding the Fourth Proportional to 6,524.46, 9,768.03 and 6,110.64

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Solution

The fourth proportional to 6,524.46, 9,768.03 and 6,110.64 is: 9,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.46 : 9,768.03 = 6,110.64 : x
  2. Step 2: Convert to fraction form
    6,524.46/9,768.03 = 6,110.64/x
  3. Step 3: Cross multiply
    6,524.46x = 9,768.03 × 6,110.64
  4. Step 4: Simplify right side
    6,524.46x = 59,688,914.84
  5. Step 5: Solve for x
    x = 59,688,914.84/6,524.46
  6. Step 6: Final answer
    x = 9,148.48

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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.