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Finding the Fourth Proportional to 8,471.78, 12,693.62 and 5,994.32

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Solution

The fourth proportional to 8,471.78, 12,693.62 and 5,994.32 is: 8,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.78 : 12,693.62 = 5,994.32 : x
  2. Step 2: Convert to fraction form
    8,471.78/12,693.62 = 5,994.32/x
  3. Step 3: Cross multiply
    8,471.78x = 12,693.62 × 5,994.32
  4. Step 4: Simplify right side
    8,471.78x = 76,089,620.24
  5. Step 5: Solve for x
    x = 76,089,620.24/8,471.78
  6. Step 6: Final answer
    x = 8,981.54

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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.