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Finding the Fourth Proportional to 6,975.22, 9,625.76 and 4,180.72

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Solution

The fourth proportional to 6,975.22, 9,625.76 and 4,180.72 is: 5,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.22 : 9,625.76 = 4,180.72 : x
  2. Step 2: Convert to fraction form
    6,975.22/9,625.76 = 4,180.72/x
  3. Step 3: Cross multiply
    6,975.22x = 9,625.76 × 4,180.72
  4. Step 4: Simplify right side
    6,975.22x = 40,242,607.35
  5. Step 5: Solve for x
    x = 40,242,607.35/6,975.22
  6. Step 6: Final answer
    x = 5,769.37

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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.