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Finding the Fourth Proportional to 17,651.52, 26,477.28 and 6,561

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Solution

The fourth proportional to 17,651.52, 26,477.28 and 6,561 is: 9,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.52 : 26,477.28 = 6,561 : x
  2. Step 2: Convert to fraction form
    17,651.52/26,477.28 = 6,561/x
  3. Step 3: Cross multiply
    17,651.52x = 26,477.28 × 6,561
  4. Step 4: Simplify right side
    17,651.52x = 173,717,434.08
  5. Step 5: Solve for x
    x = 173,717,434.08/17,651.52
  6. Step 6: Final answer
    x = 9,841.50

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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.