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Finding the Fourth Proportional to 7,668.95, 11,441.06 and 6,952.75

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Solution

The fourth proportional to 7,668.95, 11,441.06 and 6,952.75 is: 10,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.95 : 11,441.06 = 6,952.75 : x
  2. Step 2: Convert to fraction form
    7,668.95/11,441.06 = 6,952.75/x
  3. Step 3: Cross multiply
    7,668.95x = 11,441.06 × 6,952.75
  4. Step 4: Simplify right side
    7,668.95x = 79,546,792.62
  5. Step 5: Solve for x
    x = 79,546,792.62/7,668.95
  6. Step 6: Final answer
    x = 10,372.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.