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Finding the Fourth Proportional to 8,410.86, 11,606.99 and 4,876.12

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Solution

The fourth proportional to 8,410.86, 11,606.99 and 4,876.12 is: 6,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.86 : 11,606.99 = 4,876.12 : x
  2. Step 2: Convert to fraction form
    8,410.86/11,606.99 = 4,876.12/x
  3. Step 3: Cross multiply
    8,410.86x = 11,606.99 × 4,876.12
  4. Step 4: Simplify right side
    8,410.86x = 56,597,076.08
  5. Step 5: Solve for x
    x = 56,597,076.08/8,410.86
  6. Step 6: Final answer
    x = 6,729.05

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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.