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Finding the Fourth Proportional to 17,647.61, 26,476.00 and 6,557.49

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Solution

The fourth proportional to 17,647.61, 26,476.00 and 6,557.49 is: 9,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.61 : 26,476.00 = 6,557.49 : x
  2. Step 2: Convert to fraction form
    17,647.61/26,476.00 = 6,557.49/x
  3. Step 3: Cross multiply
    17,647.61x = 26,476.00 × 6,557.49
  4. Step 4: Simplify right side
    17,647.61x = 173,616,088.85
  5. Step 5: Solve for x
    x = 173,616,088.85/17,647.61
  6. Step 6: Final answer
    x = 9,837.94

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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.