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Finding the Fourth Proportional to 6,186.03, 9,279.72 and 1,804.20

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Solution

The fourth proportional to 6,186.03, 9,279.72 and 1,804.20 is: 2,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.03 : 9,279.72 = 1,804.20 : x
  2. Step 2: Convert to fraction form
    6,186.03/9,279.72 = 1,804.20/x
  3. Step 3: Cross multiply
    6,186.03x = 9,279.72 × 1,804.20
  4. Step 4: Simplify right side
    6,186.03x = 16,742,470.82
  5. Step 5: Solve for x
    x = 16,742,470.82/6,186.03
  6. Step 6: Final answer
    x = 2,706.50

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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.