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Finding the Fourth Proportional to 16,408.70, 24,584.70 and 7,625.60

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Solution

The fourth proportional to 16,408.70, 24,584.70 and 7,625.60 is: 11,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.70 : 24,584.70 = 7,625.60 : x
  2. Step 2: Convert to fraction form
    16,408.70/24,584.70 = 7,625.60/x
  3. Step 3: Cross multiply
    16,408.70x = 24,584.70 × 7,625.60
  4. Step 4: Simplify right side
    16,408.70x = 187,473,088.32
  5. Step 5: Solve for x
    x = 187,473,088.32/16,408.70
  6. Step 6: Final answer
    x = 11,425.22

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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.