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Finding the Fourth Proportional to 6,096.65, 9,144.93 and 1,936.98

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Solution

The fourth proportional to 6,096.65, 9,144.93 and 1,936.98 is: 2,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.65 : 9,144.93 = 1,936.98 : x
  2. Step 2: Convert to fraction form
    6,096.65/9,144.93 = 1,936.98/x
  3. Step 3: Cross multiply
    6,096.65x = 9,144.93 × 1,936.98
  4. Step 4: Simplify right side
    6,096.65x = 17,713,546.51
  5. Step 5: Solve for x
    x = 17,713,546.51/6,096.65
  6. Step 6: Final answer
    x = 2,905.46

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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.