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Finding the Fourth Proportional to 9,659.56, 14,474.22 and 7,711.24

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Solution

The fourth proportional to 9,659.56, 14,474.22 and 7,711.24 is: 11,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.56 : 14,474.22 = 7,711.24 : x
  2. Step 2: Convert to fraction form
    9,659.56/14,474.22 = 7,711.24/x
  3. Step 3: Cross multiply
    9,659.56x = 14,474.22 × 7,711.24
  4. Step 4: Simplify right side
    9,659.56x = 111,614,184.23
  5. Step 5: Solve for x
    x = 111,614,184.23/9,659.56
  6. Step 6: Final answer
    x = 11,554.79

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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.