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Finding the Fourth Proportional to 9,471.60, 13,079.07 and 5,940.90

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Solution

The fourth proportional to 9,471.60, 13,079.07 and 5,940.90 is: 8,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.60 : 13,079.07 = 5,940.90 : x
  2. Step 2: Convert to fraction form
    9,471.60/13,079.07 = 5,940.90/x
  3. Step 3: Cross multiply
    9,471.60x = 13,079.07 × 5,940.90
  4. Step 4: Simplify right side
    9,471.60x = 77,701,446.96
  5. Step 5: Solve for x
    x = 77,701,446.96/9,471.60
  6. Step 6: Final answer
    x = 8,203.62

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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.