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Finding the Fourth Proportional to 14,494.64, 20,002.28 and 8,206.88

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Solution

The fourth proportional to 14,494.64, 20,002.28 and 8,206.88 is: 11,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.64 : 20,002.28 = 8,206.88 : x
  2. Step 2: Convert to fraction form
    14,494.64/20,002.28 = 8,206.88/x
  3. Step 3: Cross multiply
    14,494.64x = 20,002.28 × 8,206.88
  4. Step 4: Simplify right side
    14,494.64x = 164,156,311.69
  5. Step 5: Solve for x
    x = 164,156,311.69/14,494.64
  6. Step 6: Final answer
    x = 11,325.31

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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.