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Finding the Fourth Proportional to 27,163.96, 40,746.80 and 8,444.10

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Solution

The fourth proportional to 27,163.96, 40,746.80 and 8,444.10 is: 12,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,163.96 : 40,746.80 = 8,444.10 : x
  2. Step 2: Convert to fraction form
    27,163.96/40,746.80 = 8,444.10/x
  3. Step 3: Cross multiply
    27,163.96x = 40,746.80 × 8,444.10
  4. Step 4: Simplify right side
    27,163.96x = 344,070,053.88
  5. Step 5: Solve for x
    x = 344,070,053.88/27,163.96
  6. Step 6: Final answer
    x = 12,666.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.