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Finding the Fourth Proportional to 10,873.78, 15,005.38 and 6,157.78

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Solution

The fourth proportional to 10,873.78, 15,005.38 and 6,157.78 is: 8,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.78 : 15,005.38 = 6,157.78 : x
  2. Step 2: Convert to fraction form
    10,873.78/15,005.38 = 6,157.78/x
  3. Step 3: Cross multiply
    10,873.78x = 15,005.38 × 6,157.78
  4. Step 4: Simplify right side
    10,873.78x = 92,399,828.86
  5. Step 5: Solve for x
    x = 92,399,828.86/10,873.78
  6. Step 6: Final answer
    x = 8,497.49

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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.