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Finding the Fourth Proportional to 9,662.09, 14,476.08 and 8,462.75

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Solution

The fourth proportional to 9,662.09, 14,476.08 and 8,462.75 is: 12,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.09 : 14,476.08 = 8,462.75 : x
  2. Step 2: Convert to fraction form
    9,662.09/14,476.08 = 8,462.75/x
  3. Step 3: Cross multiply
    9,662.09x = 14,476.08 × 8,462.75
  4. Step 4: Simplify right side
    9,662.09x = 122,507,405.37
  5. Step 5: Solve for x
    x = 122,507,405.37/9,662.09
  6. Step 6: Final answer
    x = 12,679.19

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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.