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Finding the Fourth Proportional to 8,410.91, 11,607.13 and 4,634.09

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Solution

The fourth proportional to 8,410.91, 11,607.13 and 4,634.09 is: 6,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.91 : 11,607.13 = 4,634.09 : x
  2. Step 2: Convert to fraction form
    8,410.91/11,607.13 = 4,634.09/x
  3. Step 3: Cross multiply
    8,410.91x = 11,607.13 × 4,634.09
  4. Step 4: Simplify right side
    8,410.91x = 53,788,485.06
  5. Step 5: Solve for x
    x = 53,788,485.06/8,410.91
  6. Step 6: Final answer
    x = 6,395.09

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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.