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Finding the Fourth Proportional to 16,133.70, 24,200.55 and 5,744.10

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Solution

The fourth proportional to 16,133.70, 24,200.55 and 5,744.10 is: 8,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.70 : 24,200.55 = 5,744.10 : x
  2. Step 2: Convert to fraction form
    16,133.70/24,200.55 = 5,744.10/x
  3. Step 3: Cross multiply
    16,133.70x = 24,200.55 × 5,744.10
  4. Step 4: Simplify right side
    16,133.70x = 139,010,379.26
  5. Step 5: Solve for x
    x = 139,010,379.26/16,133.70
  6. Step 6: Final answer
    x = 8,616.15

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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.