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Finding the Fourth Proportional to 16,280.80, 24,430.80 and 5,891.20

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Solution

The fourth proportional to 16,280.80, 24,430.80 and 5,891.20 is: 8,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.80 : 24,430.80 = 5,891.20 : x
  2. Step 2: Convert to fraction form
    16,280.80/24,430.80 = 5,891.20/x
  3. Step 3: Cross multiply
    16,280.80x = 24,430.80 × 5,891.20
  4. Step 4: Simplify right side
    16,280.80x = 143,926,728.96
  5. Step 5: Solve for x
    x = 143,926,728.96/16,280.80
  6. Step 6: Final answer
    x = 8,840.27

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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.