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Finding the Fourth Proportional to 9,101.64, 13,651.11 and 2,527.14

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Solution

The fourth proportional to 9,101.64, 13,651.11 and 2,527.14 is: 3,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.64 : 13,651.11 = 2,527.14 : x
  2. Step 2: Convert to fraction form
    9,101.64/13,651.11 = 2,527.14/x
  3. Step 3: Cross multiply
    9,101.64x = 13,651.11 × 2,527.14
  4. Step 4: Simplify right side
    9,101.64x = 34,498,266.13
  5. Step 5: Solve for x
    x = 34,498,266.13/9,101.64
  6. Step 6: Final answer
    x = 3,790.34

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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.