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Finding the Fourth Proportional to 26,694.46, 40,038.96 and 6,970.46

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Solution

The fourth proportional to 26,694.46, 40,038.96 and 6,970.46 is: 10,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,694.46 : 40,038.96 = 6,970.46 : x
  2. Step 2: Convert to fraction form
    26,694.46/40,038.96 = 6,970.46/x
  3. Step 3: Cross multiply
    26,694.46x = 40,038.96 × 6,970.46
  4. Step 4: Simplify right side
    26,694.46x = 279,089,755.86
  5. Step 5: Solve for x
    x = 279,089,755.86/26,694.46
  6. Step 6: Final answer
    x = 10,454.97

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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.