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Finding the Fourth Proportional to 26,684.86, 40,031.64 and 8,216.86

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Solution

The fourth proportional to 26,684.86, 40,031.64 and 8,216.86 is: 12,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,684.86 : 40,031.64 = 8,216.86 : x
  2. Step 2: Convert to fraction form
    26,684.86/40,031.64 = 8,216.86/x
  3. Step 3: Cross multiply
    26,684.86x = 40,031.64 × 8,216.86
  4. Step 4: Simplify right side
    26,684.86x = 328,934,381.45
  5. Step 5: Solve for x
    x = 328,934,381.45/26,684.86
  6. Step 6: Final answer
    x = 12,326.63

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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.