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Finding the Fourth Proportional to 19,900, 29,846.52 and 6,573.16

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Solution

The fourth proportional to 19,900, 29,846.52 and 6,573.16 is: 9,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900 : 29,846.52 = 6,573.16 : x
  2. Step 2: Convert to fraction form
    19,900/29,846.52 = 6,573.16/x
  3. Step 3: Cross multiply
    19,900x = 29,846.52 × 6,573.16
  4. Step 4: Simplify right side
    19,900x = 196,185,951.40
  5. Step 5: Solve for x
    x = 196,185,951.40/19,900
  6. Step 6: Final answer
    x = 9,858.59

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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.