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Finding the Fourth Proportional to 17,646, 26,468.24 and 4,497.98

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Solution

The fourth proportional to 17,646, 26,468.24 and 4,497.98 is: 6,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 26,468.24 = 4,497.98 : x
  2. Step 2: Convert to fraction form
    17,646/26,468.24 = 4,497.98/x
  3. Step 3: Cross multiply
    17,646x = 26,468.24 × 4,497.98
  4. Step 4: Simplify right side
    17,646x = 119,053,583.88
  5. Step 5: Solve for x
    x = 119,053,583.88/17,646
  6. Step 6: Final answer
    x = 6,746.77

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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.