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Finding the Fourth Proportional to 6,864.72, 10,285.31 and 4,609.02

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Solution

The fourth proportional to 6,864.72, 10,285.31 and 4,609.02 is: 6,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.72 : 10,285.31 = 4,609.02 : x
  2. Step 2: Convert to fraction form
    6,864.72/10,285.31 = 4,609.02/x
  3. Step 3: Cross multiply
    6,864.72x = 10,285.31 × 4,609.02
  4. Step 4: Simplify right side
    6,864.72x = 47,405,199.50
  5. Step 5: Solve for x
    x = 47,405,199.50/6,864.72
  6. Step 6: Final answer
    x = 6,905.63

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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.