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Finding the Fourth Proportional to 19,693.90, 29,528.94 and 7,849.49

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Solution

The fourth proportional to 19,693.90, 29,528.94 and 7,849.49 is: 11,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.90 : 29,528.94 = 7,849.49 : x
  2. Step 2: Convert to fraction form
    19,693.90/29,528.94 = 7,849.49/x
  3. Step 3: Cross multiply
    19,693.90x = 29,528.94 × 7,849.49
  4. Step 4: Simplify right side
    19,693.90x = 231,787,119.24
  5. Step 5: Solve for x
    x = 231,787,119.24/19,693.90
  6. Step 6: Final answer
    x = 11,769.49

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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.