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Finding the Fourth Proportional to 17,520, 26,283.84 and 6,576

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Solution

The fourth proportional to 17,520, 26,283.84 and 6,576 is: 9,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,520 : 26,283.84 = 6,576 : x
  2. Step 2: Convert to fraction form
    17,520/26,283.84 = 6,576/x
  3. Step 3: Cross multiply
    17,520x = 26,283.84 × 6,576
  4. Step 4: Simplify right side
    17,520x = 172,842,531.84
  5. Step 5: Solve for x
    x = 172,842,531.84/17,520
  6. Step 6: Final answer
    x = 9,865.44

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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.