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Finding the Fourth Proportional to 19,498, 29,250.04 and 6,347.26

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Solution

The fourth proportional to 19,498, 29,250.04 and 6,347.26 is: 9,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498 : 29,250.04 = 6,347.26 : x
  2. Step 2: Convert to fraction form
    19,498/29,250.04 = 6,347.26/x
  3. Step 3: Cross multiply
    19,498x = 29,250.04 × 6,347.26
  4. Step 4: Simplify right side
    19,498x = 185,657,608.89
  5. Step 5: Solve for x
    x = 185,657,608.89/19,498
  6. Step 6: Final answer
    x = 9,521.88

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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.