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Finding the Fourth Proportional to 9,694.88, 14,549.64 and 7,104.56

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Solution

The fourth proportional to 9,694.88, 14,549.64 and 7,104.56 is: 10,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.88 : 14,549.64 = 7,104.56 : x
  2. Step 2: Convert to fraction form
    9,694.88/14,549.64 = 7,104.56/x
  3. Step 3: Cross multiply
    9,694.88x = 14,549.64 × 7,104.56
  4. Step 4: Simplify right side
    9,694.88x = 103,368,790.36
  5. Step 5: Solve for x
    x = 103,368,790.36/9,694.88
  6. Step 6: Final answer
    x = 10,662.20

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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.