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Finding the Fourth Proportional to 16,411.92, 24,614.88 and 4,722.24

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Solution

The fourth proportional to 16,411.92, 24,614.88 and 4,722.24 is: 7,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.92 : 24,614.88 = 4,722.24 : x
  2. Step 2: Convert to fraction form
    16,411.92/24,614.88 = 4,722.24/x
  3. Step 3: Cross multiply
    16,411.92x = 24,614.88 × 4,722.24
  4. Step 4: Simplify right side
    16,411.92x = 116,237,370.93
  5. Step 5: Solve for x
    x = 116,237,370.93/16,411.92
  6. Step 6: Final answer
    x = 7,082.50

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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.