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Finding the Fourth Proportional to 9,644.58, 14,441.49 and 7,760.43

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Solution

The fourth proportional to 9,644.58, 14,441.49 and 7,760.43 is: 11,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.58 : 14,441.49 = 7,760.43 : x
  2. Step 2: Convert to fraction form
    9,644.58/14,441.49 = 7,760.43/x
  3. Step 3: Cross multiply
    9,644.58x = 14,441.49 × 7,760.43
  4. Step 4: Simplify right side
    9,644.58x = 112,072,172.24
  5. Step 5: Solve for x
    x = 112,072,172.24/9,644.58
  6. Step 6: Final answer
    x = 11,620.22

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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.