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Finding the Fourth Proportional to 6,097.66, 9,147.27 and 1,936.19

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Solution

The fourth proportional to 6,097.66, 9,147.27 and 1,936.19 is: 2,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.66 : 9,147.27 = 1,936.19 : x
  2. Step 2: Convert to fraction form
    6,097.66/9,147.27 = 1,936.19/x
  3. Step 3: Cross multiply
    6,097.66x = 9,147.27 × 1,936.19
  4. Step 4: Simplify right side
    6,097.66x = 17,710,803.33
  5. Step 5: Solve for x
    x = 17,710,803.33/6,097.66
  6. Step 6: Final answer
    x = 2,904.52

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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.