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Finding the Fourth Proportional to 15,573.31, 23,353.82 and 6,802.09

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Solution

The fourth proportional to 15,573.31, 23,353.82 and 6,802.09 is: 10,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,573.31 : 23,353.82 = 6,802.09 : x
  2. Step 2: Convert to fraction form
    15,573.31/23,353.82 = 6,802.09/x
  3. Step 3: Cross multiply
    15,573.31x = 23,353.82 × 6,802.09
  4. Step 4: Simplify right side
    15,573.31x = 158,854,634.70
  5. Step 5: Solve for x
    x = 158,854,634.70/15,573.31
  6. Step 6: Final answer
    x = 10,200.44

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1.5x scale

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.