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Finding the Fourth Proportional to 6,653.96, 9,975.34 and 4,456.04

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Solution

The fourth proportional to 6,653.96, 9,975.34 and 4,456.04 is: 6,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.96 : 9,975.34 = 4,456.04 : x
  2. Step 2: Convert to fraction form
    6,653.96/9,975.34 = 4,456.04/x
  3. Step 3: Cross multiply
    6,653.96x = 9,975.34 × 4,456.04
  4. Step 4: Simplify right side
    6,653.96x = 44,450,514.05
  5. Step 5: Solve for x
    x = 44,450,514.05/6,653.96
  6. Step 6: Final answer
    x = 6,680.31

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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.