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Finding the Fourth Proportional to 6,952.75, 9,563.67 and 6,097.80

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Solution

The fourth proportional to 6,952.75, 9,563.67 and 6,097.80 is: 8,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.75 : 9,563.67 = 6,097.80 : x
  2. Step 2: Convert to fraction form
    6,952.75/9,563.67 = 6,097.80/x
  3. Step 3: Cross multiply
    6,952.75x = 9,563.67 × 6,097.80
  4. Step 4: Simplify right side
    6,952.75x = 58,317,346.93
  5. Step 5: Solve for x
    x = 58,317,346.93/6,952.75
  6. Step 6: Final answer
    x = 8,387.67

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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.