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Finding the Fourth Proportional to 7,665.40, 11,479.98 and 3,770.92

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Solution

The fourth proportional to 7,665.40, 11,479.98 and 3,770.92 is: 5,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.40 : 11,479.98 = 3,770.92 : x
  2. Step 2: Convert to fraction form
    7,665.40/11,479.98 = 3,770.92/x
  3. Step 3: Cross multiply
    7,665.40x = 11,479.98 × 3,770.92
  4. Step 4: Simplify right side
    7,665.40x = 43,290,086.18
  5. Step 5: Solve for x
    x = 43,290,086.18/7,665.40
  6. Step 6: Final answer
    x = 5,647.47

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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.