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Finding the Fourth Proportional to 14,494.86, 20,002.35 and 8,206.86

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Solution

The fourth proportional to 14,494.86, 20,002.35 and 8,206.86 is: 11,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.86 : 20,002.35 = 8,206.86 : x
  2. Step 2: Convert to fraction form
    14,494.86/20,002.35 = 8,206.86/x
  3. Step 3: Cross multiply
    14,494.86x = 20,002.35 × 8,206.86
  4. Step 4: Simplify right side
    14,494.86x = 164,156,486.12
  5. Step 5: Solve for x
    x = 164,156,486.12/14,494.86
  6. Step 6: Final answer
    x = 11,325.15

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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.