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Finding the Fourth Proportional to 16,262.34, 24,394.68 and 7,949.28

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Solution

The fourth proportional to 16,262.34, 24,394.68 and 7,949.28 is: 11,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.34 : 24,394.68 = 7,949.28 : x
  2. Step 2: Convert to fraction form
    16,262.34/24,394.68 = 7,949.28/x
  3. Step 3: Cross multiply
    16,262.34x = 24,394.68 × 7,949.28
  4. Step 4: Simplify right side
    16,262.34x = 193,920,141.83
  5. Step 5: Solve for x
    x = 193,920,141.83/16,262.34
  6. Step 6: Final answer
    x = 11,924.49

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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.