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Finding the Fourth Proportional to 16,389.76, 24,584.62 and 4,077.76

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Solution

The fourth proportional to 16,389.76, 24,584.62 and 4,077.76 is: 6,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.76 : 24,584.62 = 4,077.76 : x
  2. Step 2: Convert to fraction form
    16,389.76/24,584.62 = 4,077.76/x
  3. Step 3: Cross multiply
    16,389.76x = 24,584.62 × 4,077.76
  4. Step 4: Simplify right side
    16,389.76x = 100,250,180.05
  5. Step 5: Solve for x
    x = 100,250,180.05/16,389.76
  6. Step 6: Final answer
    x = 6,116.64

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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.