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Finding the Fourth Proportional to 8,410.43, 11,606.86 and 5,056.12

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Solution

The fourth proportional to 8,410.43, 11,606.86 and 5,056.12 is: 6,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.43 : 11,606.86 = 5,056.12 : x
  2. Step 2: Convert to fraction form
    8,410.43/11,606.86 = 5,056.12/x
  3. Step 3: Cross multiply
    8,410.43x = 11,606.86 × 5,056.12
  4. Step 4: Simplify right side
    8,410.43x = 58,685,697.81
  5. Step 5: Solve for x
    x = 58,685,697.81/8,410.43
  6. Step 6: Final answer
    x = 6,977.73

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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.