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Finding the Fourth Proportional to 15,706.06, 23,553.06 and 6,342.82

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Solution

The fourth proportional to 15,706.06, 23,553.06 and 6,342.82 is: 9,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.06 : 23,553.06 = 6,342.82 : x
  2. Step 2: Convert to fraction form
    15,706.06/23,553.06 = 6,342.82/x
  3. Step 3: Cross multiply
    15,706.06x = 23,553.06 × 6,342.82
  4. Step 4: Simplify right side
    15,706.06x = 149,392,820.03
  5. Step 5: Solve for x
    x = 149,392,820.03/15,706.06
  6. Step 6: Final answer
    x = 9,511.79

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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.