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Finding the Fourth Proportional to 11,731.16, 16,189.02 and 6,425.86

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Solution

The fourth proportional to 11,731.16, 16,189.02 and 6,425.86 is: 8,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.16 : 16,189.02 = 6,425.86 : x
  2. Step 2: Convert to fraction form
    11,731.16/16,189.02 = 6,425.86/x
  3. Step 3: Cross multiply
    11,731.16x = 16,189.02 × 6,425.86
  4. Step 4: Simplify right side
    11,731.16x = 104,028,376.06
  5. Step 5: Solve for x
    x = 104,028,376.06/11,731.16
  6. Step 6: Final answer
    x = 8,867.70

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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.