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Finding the Fourth Proportional to 16,311.78, 24,464.03 and 7,983.45

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Solution

The fourth proportional to 16,311.78, 24,464.03 and 7,983.45 is: 11,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.78 : 24,464.03 = 7,983.45 : x
  2. Step 2: Convert to fraction form
    16,311.78/24,464.03 = 7,983.45/x
  3. Step 3: Cross multiply
    16,311.78x = 24,464.03 × 7,983.45
  4. Step 4: Simplify right side
    16,311.78x = 195,307,320.39
  5. Step 5: Solve for x
    x = 195,307,320.39/16,311.78
  6. Step 6: Final answer
    x = 11,973.39

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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.