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Finding the Fourth Proportional to 16,129.16, 24,202.95 and 6,267.16

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Solution

The fourth proportional to 16,129.16, 24,202.95 and 6,267.16 is: 9,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.16 : 24,202.95 = 6,267.16 : x
  2. Step 2: Convert to fraction form
    16,129.16/24,202.95 = 6,267.16/x
  3. Step 3: Cross multiply
    16,129.16x = 24,202.95 × 6,267.16
  4. Step 4: Simplify right side
    16,129.16x = 151,683,760.12
  5. Step 5: Solve for x
    x = 151,683,760.12/16,129.16
  6. Step 6: Final answer
    x = 9,404.32

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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.