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Finding the Fourth Proportional to 5,147.69, 7,703.07 and 4,456.73

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Solution

The fourth proportional to 5,147.69, 7,703.07 and 4,456.73 is: 6,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.69 : 7,703.07 = 4,456.73 : x
  2. Step 2: Convert to fraction form
    5,147.69/7,703.07 = 4,456.73/x
  3. Step 3: Cross multiply
    5,147.69x = 7,703.07 × 4,456.73
  4. Step 4: Simplify right side
    5,147.69x = 34,330,464.65
  5. Step 5: Solve for x
    x = 34,330,464.65/5,147.69
  6. Step 6: Final answer
    x = 6,669.11

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1.5x scale

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.