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Finding the Fourth Proportional to 16,384.79, 24,577.20 and 4,072.79

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Solution

The fourth proportional to 16,384.79, 24,577.20 and 4,072.79 is: 6,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.79 : 24,577.20 = 4,072.79 : x
  2. Step 2: Convert to fraction form
    16,384.79/24,577.20 = 4,072.79/x
  3. Step 3: Cross multiply
    16,384.79x = 24,577.20 × 4,072.79
  4. Step 4: Simplify right side
    16,384.79x = 100,097,631.14
  5. Step 5: Solve for x
    x = 100,097,631.14/16,384.79
  6. Step 6: Final answer
    x = 6,109.18

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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.