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Finding the Fourth Proportional to 16,420.50, 24,630.75 and 4,108.50

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Solution

The fourth proportional to 16,420.50, 24,630.75 and 4,108.50 is: 6,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.50 : 24,630.75 = 4,108.50 : x
  2. Step 2: Convert to fraction form
    16,420.50/24,630.75 = 4,108.50/x
  3. Step 3: Cross multiply
    16,420.50x = 24,630.75 × 4,108.50
  4. Step 4: Simplify right side
    16,420.50x = 101,195,436.38
  5. Step 5: Solve for x
    x = 101,195,436.38/16,420.50
  6. Step 6: Final answer
    x = 6,162.75

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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.