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Finding the Fourth Proportional to 16,384.20, 24,573.90 and 4,696.20

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Solution

The fourth proportional to 16,384.20, 24,573.90 and 4,696.20 is: 7,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.20 : 24,573.90 = 4,696.20 : x
  2. Step 2: Convert to fraction form
    16,384.20/24,573.90 = 4,696.20/x
  3. Step 3: Cross multiply
    16,384.20x = 24,573.90 × 4,696.20
  4. Step 4: Simplify right side
    16,384.20x = 115,403,949.18
  5. Step 5: Solve for x
    x = 115,403,949.18/16,384.20
  6. Step 6: Final answer
    x = 7,043.61

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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.