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Finding the Fourth Proportional to 14,846.64, 20,488.48 and 8,132.40

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Solution

The fourth proportional to 14,846.64, 20,488.48 and 8,132.40 is: 11,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.64 : 20,488.48 = 8,132.40 : x
  2. Step 2: Convert to fraction form
    14,846.64/20,488.48 = 8,132.40/x
  3. Step 3: Cross multiply
    14,846.64x = 20,488.48 × 8,132.40
  4. Step 4: Simplify right side
    14,846.64x = 166,620,514.75
  5. Step 5: Solve for x
    x = 166,620,514.75/14,846.64
  6. Step 6: Final answer
    x = 11,222.78

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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.