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Finding the Fourth Proportional to 13,732.34, 18,949.34 and 7,764.46

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Solution

The fourth proportional to 13,732.34, 18,949.34 and 7,764.46 is: 10,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.34 : 18,949.34 = 7,764.46 : x
  2. Step 2: Convert to fraction form
    13,732.34/18,949.34 = 7,764.46/x
  3. Step 3: Cross multiply
    13,732.34x = 18,949.34 × 7,764.46
  4. Step 4: Simplify right side
    13,732.34x = 147,131,364.49
  5. Step 5: Solve for x
    x = 147,131,364.49/13,732.34
  6. Step 6: Final answer
    x = 10,714.23

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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.