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Finding the Fourth Proportional to 11,004, 16,493.42 and 4,425.98

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Solution

The fourth proportional to 11,004, 16,493.42 and 4,425.98 is: 6,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004 : 16,493.42 = 4,425.98 : x
  2. Step 2: Convert to fraction form
    11,004/16,493.42 = 4,425.98/x
  3. Step 3: Cross multiply
    11,004x = 16,493.42 × 4,425.98
  4. Step 4: Simplify right side
    11,004x = 72,999,547.05
  5. Step 5: Solve for x
    x = 72,999,547.05/11,004
  6. Step 6: Final answer
    x = 6,633.91

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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.