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Finding the Fourth Proportional to 11,578.32, 15,978.21 and 6,273.24

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Solution

The fourth proportional to 11,578.32, 15,978.21 and 6,273.24 is: 8,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.32 : 15,978.21 = 6,273.24 : x
  2. Step 2: Convert to fraction form
    11,578.32/15,978.21 = 6,273.24/x
  3. Step 3: Cross multiply
    11,578.32x = 15,978.21 × 6,273.24
  4. Step 4: Simplify right side
    11,578.32x = 100,235,146.10
  5. Step 5: Solve for x
    x = 100,235,146.10/11,578.32
  6. Step 6: Final answer
    x = 8,657.14

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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.