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Finding the Fourth Proportional to 24,649.50, 36,980.32 and 9,854.44

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Solution

The fourth proportional to 24,649.50, 36,980.32 and 9,854.44 is: 14,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.50 : 36,980.32 = 9,854.44 : x
  2. Step 2: Convert to fraction form
    24,649.50/36,980.32 = 9,854.44/x
  3. Step 3: Cross multiply
    24,649.50x = 36,980.32 × 9,854.44
  4. Step 4: Simplify right side
    24,649.50x = 364,420,344.62
  5. Step 5: Solve for x
    x = 364,420,344.62/24,649.50
  6. Step 6: Final answer
    x = 14,784.09

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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.