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Finding the Fourth Proportional to 24,447.61, 36,646.80 and 9,650.80

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Solution

The fourth proportional to 24,447.61, 36,646.80 and 9,650.80 is: 14,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.61 : 36,646.80 = 9,650.80 : x
  2. Step 2: Convert to fraction form
    24,447.61/36,646.80 = 9,650.80/x
  3. Step 3: Cross multiply
    24,447.61x = 36,646.80 × 9,650.80
  4. Step 4: Simplify right side
    24,447.61x = 353,670,937.44
  5. Step 5: Solve for x
    x = 353,670,937.44/24,447.61
  6. Step 6: Final answer
    x = 14,466.48

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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.