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Finding the Fourth Proportional to 6,999.65, 9,649.84 and 5,006.73

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Solution

The fourth proportional to 6,999.65, 9,649.84 and 5,006.73 is: 6,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.65 : 9,649.84 = 5,006.73 : x
  2. Step 2: Convert to fraction form
    6,999.65/9,649.84 = 5,006.73/x
  3. Step 3: Cross multiply
    6,999.65x = 9,649.84 × 5,006.73
  4. Step 4: Simplify right side
    6,999.65x = 48,314,143.42
  5. Step 5: Solve for x
    x = 48,314,143.42/6,999.65
  6. Step 6: Final answer
    x = 6,902.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.