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Finding the Fourth Proportional to 24,464.33, 36,688.41 and 9,464.49

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Solution

The fourth proportional to 24,464.33, 36,688.41 and 9,464.49 is: 14,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.33 : 36,688.41 = 9,464.49 : x
  2. Step 2: Convert to fraction form
    24,464.33/36,688.41 = 9,464.49/x
  3. Step 3: Cross multiply
    24,464.33x = 36,688.41 × 9,464.49
  4. Step 4: Simplify right side
    24,464.33x = 347,237,089.56
  5. Step 5: Solve for x
    x = 347,237,089.56/24,464.33
  6. Step 6: Final answer
    x = 14,193.61

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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.