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Finding the Fourth Proportional to 9,644.88, 14,496.96 and 8,361.84

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Solution

The fourth proportional to 9,644.88, 14,496.96 and 8,361.84 is: 12,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.88 : 14,496.96 = 8,361.84 : x
  2. Step 2: Convert to fraction form
    9,644.88/14,496.96 = 8,361.84/x
  3. Step 3: Cross multiply
    9,644.88x = 14,496.96 × 8,361.84
  4. Step 4: Simplify right side
    9,644.88x = 121,221,260.01
  5. Step 5: Solve for x
    x = 121,221,260.01/9,644.88
  6. Step 6: Final answer
    x = 12,568.46

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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.