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Finding the Fourth Proportional to 6,095.79, 9,144.02 and 1,936.13

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Solution

The fourth proportional to 6,095.79, 9,144.02 and 1,936.13 is: 2,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.79 : 9,144.02 = 1,936.13 : x
  2. Step 2: Convert to fraction form
    6,095.79/9,144.02 = 1,936.13/x
  3. Step 3: Cross multiply
    6,095.79x = 9,144.02 × 1,936.13
  4. Step 4: Simplify right side
    6,095.79x = 17,703,956.04
  5. Step 5: Solve for x
    x = 17,703,956.04/6,095.79
  6. Step 6: Final answer
    x = 2,904.29

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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.