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Finding the Fourth Proportional to 6,512.85, 9,753.07 and 4,555.89

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Solution

The fourth proportional to 6,512.85, 9,753.07 and 4,555.89 is: 6,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.85 : 9,753.07 = 4,555.89 : x
  2. Step 2: Convert to fraction form
    6,512.85/9,753.07 = 4,555.89/x
  3. Step 3: Cross multiply
    6,512.85x = 9,753.07 × 4,555.89
  4. Step 4: Simplify right side
    6,512.85x = 44,433,914.08
  5. Step 5: Solve for x
    x = 44,433,914.08/6,512.85
  6. Step 6: Final answer
    x = 6,822.50

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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.