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Finding the Fourth Proportional to 6,975.98, 9,627 and 3,832.15

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Solution

The fourth proportional to 6,975.98, 9,627 and 3,832.15 is: 5,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.98 : 9,627 = 3,832.15 : x
  2. Step 2: Convert to fraction form
    6,975.98/9,627 = 3,832.15/x
  3. Step 3: Cross multiply
    6,975.98x = 9,627 × 3,832.15
  4. Step 4: Simplify right side
    6,975.98x = 36,892,108.05
  5. Step 5: Solve for x
    x = 36,892,108.05/6,975.98
  6. Step 6: Final answer
    x = 5,288.45

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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.