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Finding the Fourth Proportional to 16,285.74, 24,412.20 and 6,421.20

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Solution

The fourth proportional to 16,285.74, 24,412.20 and 6,421.20 is: 9,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.74 : 24,412.20 = 6,421.20 : x
  2. Step 2: Convert to fraction form
    16,285.74/24,412.20 = 6,421.20/x
  3. Step 3: Cross multiply
    16,285.74x = 24,412.20 × 6,421.20
  4. Step 4: Simplify right side
    16,285.74x = 156,755,618.64
  5. Step 5: Solve for x
    x = 156,755,618.64/16,285.74
  6. Step 6: Final answer
    x = 9,625.33

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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.