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Finding the Fourth Proportional to 16,244.80, 24,369.90 and 6,384.40

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Solution

The fourth proportional to 16,244.80, 24,369.90 and 6,384.40 is: 9,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.80 : 24,369.90 = 6,384.40 : x
  2. Step 2: Convert to fraction form
    16,244.80/24,369.90 = 6,384.40/x
  3. Step 3: Cross multiply
    16,244.80x = 24,369.90 × 6,384.40
  4. Step 4: Simplify right side
    16,244.80x = 155,587,189.56
  5. Step 5: Solve for x
    x = 155,587,189.56/16,244.80
  6. Step 6: Final answer
    x = 9,577.66

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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.