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Finding the Fourth Proportional to 14,752.91, 20,363.30 and 9,649.16

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Solution

The fourth proportional to 14,752.91, 20,363.30 and 9,649.16 is: 13,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752.91 : 20,363.30 = 9,649.16 : x
  2. Step 2: Convert to fraction form
    14,752.91/20,363.30 = 9,649.16/x
  3. Step 3: Cross multiply
    14,752.91x = 20,363.30 × 9,649.16
  4. Step 4: Simplify right side
    14,752.91x = 196,488,589.77
  5. Step 5: Solve for x
    x = 196,488,589.77/14,752.91
  6. Step 6: Final answer
    x = 13,318.64

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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.