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Finding the Fourth Proportional to 6,649.41, 9,975.94 and 5,267.35

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Solution

The fourth proportional to 6,649.41, 9,975.94 and 5,267.35 is: 7,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.41 : 9,975.94 = 5,267.35 : x
  2. Step 2: Convert to fraction form
    6,649.41/9,975.94 = 5,267.35/x
  3. Step 3: Cross multiply
    6,649.41x = 9,975.94 × 5,267.35
  4. Step 4: Simplify right side
    6,649.41x = 52,546,767.56
  5. Step 5: Solve for x
    x = 52,546,767.56/6,649.41
  6. Step 6: Final answer
    x = 7,902.47

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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.