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Finding the Fourth Proportional to 9,867.86, 13,617.22 and 5,391.40

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Solution

The fourth proportional to 9,867.86, 13,617.22 and 5,391.40 is: 7,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.86 : 13,617.22 = 5,391.40 : x
  2. Step 2: Convert to fraction form
    9,867.86/13,617.22 = 5,391.40/x
  3. Step 3: Cross multiply
    9,867.86x = 13,617.22 × 5,391.40
  4. Step 4: Simplify right side
    9,867.86x = 73,415,879.91
  5. Step 5: Solve for x
    x = 73,415,879.91/9,867.86
  6. Step 6: Final answer
    x = 7,439.90

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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.