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Finding the Fourth Proportional to 7,693.78, 11,530.95 and 3,996.94

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Solution

The fourth proportional to 7,693.78, 11,530.95 and 3,996.94 is: 5,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.78 : 11,530.95 = 3,996.94 : x
  2. Step 2: Convert to fraction form
    7,693.78/11,530.95 = 3,996.94/x
  3. Step 3: Cross multiply
    7,693.78x = 11,530.95 × 3,996.94
  4. Step 4: Simplify right side
    7,693.78x = 46,088,515.29
  5. Step 5: Solve for x
    x = 46,088,515.29/7,693.78
  6. Step 6: Final answer
    x = 5,990.36

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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.