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Finding the Fourth Proportional to 9,000.10, 13,514.55 and 6,811.30

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Solution

The fourth proportional to 9,000.10, 13,514.55 and 6,811.30 is: 10,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.10 : 13,514.55 = 6,811.30 : x
  2. Step 2: Convert to fraction form
    9,000.10/13,514.55 = 6,811.30/x
  3. Step 3: Cross multiply
    9,000.10x = 13,514.55 × 6,811.30
  4. Step 4: Simplify right side
    9,000.10x = 92,051,654.42
  5. Step 5: Solve for x
    x = 92,051,654.42/9,000.10
  6. Step 6: Final answer
    x = 10,227.85

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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.