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Finding the Fourth Proportional to 11,578.34, 15,978.14 and 6,273.15

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Solution

The fourth proportional to 11,578.34, 15,978.14 and 6,273.15 is: 8,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.34 : 15,978.14 = 6,273.15 : x
  2. Step 2: Convert to fraction form
    11,578.34/15,978.14 = 6,273.15/x
  3. Step 3: Cross multiply
    11,578.34x = 15,978.14 × 6,273.15
  4. Step 4: Simplify right side
    11,578.34x = 100,233,237.58
  5. Step 5: Solve for x
    x = 100,233,237.58/11,578.34
  6. Step 6: Final answer
    x = 8,656.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.