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Finding the Fourth Proportional to 16,274.98, 24,412.48 and 6,415.30

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Solution

The fourth proportional to 16,274.98, 24,412.48 and 6,415.30 is: 9,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.98 : 24,412.48 = 6,415.30 : x
  2. Step 2: Convert to fraction form
    16,274.98/24,412.48 = 6,415.30/x
  3. Step 3: Cross multiply
    16,274.98x = 24,412.48 × 6,415.30
  4. Step 4: Simplify right side
    16,274.98x = 156,613,382.94
  5. Step 5: Solve for x
    x = 156,613,382.94/16,274.98
  6. Step 6: Final answer
    x = 9,622.95

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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.