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Finding the Fourth Proportional to 11,846.92, 16,346.95 and 7,873.87

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Solution

The fourth proportional to 11,846.92, 16,346.95 and 7,873.87 is: 10,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.92 : 16,346.95 = 7,873.87 : x
  2. Step 2: Convert to fraction form
    11,846.92/16,346.95 = 7,873.87/x
  3. Step 3: Cross multiply
    11,846.92x = 16,346.95 × 7,873.87
  4. Step 4: Simplify right side
    11,846.92x = 128,713,759.20
  5. Step 5: Solve for x
    x = 128,713,759.20/11,846.92
  6. Step 6: Final answer
    x = 10,864.74

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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.