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Finding the Fourth Proportional to 7,638.56, 11,473.20 and 6,674.72

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Solution

The fourth proportional to 7,638.56, 11,473.20 and 6,674.72 is: 10,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.56 : 11,473.20 = 6,674.72 : x
  2. Step 2: Convert to fraction form
    7,638.56/11,473.20 = 6,674.72/x
  3. Step 3: Cross multiply
    7,638.56x = 11,473.20 × 6,674.72
  4. Step 4: Simplify right side
    7,638.56x = 76,580,397.50
  5. Step 5: Solve for x
    x = 76,580,397.50/7,638.56
  6. Step 6: Final answer
    x = 10,025.50

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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.