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Finding the Fourth Proportional to 16,438.78, 24,649.05 and 6,566.90

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Solution

The fourth proportional to 16,438.78, 24,649.05 and 6,566.90 is: 9,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.78 : 24,649.05 = 6,566.90 : x
  2. Step 2: Convert to fraction form
    16,438.78/24,649.05 = 6,566.90/x
  3. Step 3: Cross multiply
    16,438.78x = 24,649.05 × 6,566.90
  4. Step 4: Simplify right side
    16,438.78x = 161,867,846.45
  5. Step 5: Solve for x
    x = 161,867,846.45/16,438.78
  6. Step 6: Final answer
    x = 9,846.71

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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.