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Finding the Fourth Proportional to 4,882.74, 7,324.04 and 1,185

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Solution

The fourth proportional to 4,882.74, 7,324.04 and 1,185 is: 1,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.74 : 7,324.04 = 1,185 : x
  2. Step 2: Convert to fraction form
    4,882.74/7,324.04 = 1,185/x
  3. Step 3: Cross multiply
    4,882.74x = 7,324.04 × 1,185
  4. Step 4: Simplify right side
    4,882.74x = 8,678,987.40
  5. Step 5: Solve for x
    x = 8,678,987.40/4,882.74
  6. Step 6: Final answer
    x = 1,777.48

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Double scale
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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.