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Finding the Fourth Proportional to 6,714.84, 9,266.34 and 3,730.50

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Solution

The fourth proportional to 6,714.84, 9,266.34 and 3,730.50 is: 5,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.84 : 9,266.34 = 3,730.50 : x
  2. Step 2: Convert to fraction form
    6,714.84/9,266.34 = 3,730.50/x
  3. Step 3: Cross multiply
    6,714.84x = 9,266.34 × 3,730.50
  4. Step 4: Simplify right side
    6,714.84x = 34,568,081.37
  5. Step 5: Solve for x
    x = 34,568,081.37/6,714.84
  6. Step 6: Final answer
    x = 5,148.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.