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Finding the Fourth Proportional to 6,714.84, 10,068.64 and 3,018

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Solution

The fourth proportional to 6,714.84, 10,068.64 and 3,018 is: 4,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.84 : 10,068.64 = 3,018 : x
  2. Step 2: Convert to fraction form
    6,714.84/10,068.64 = 3,018/x
  3. Step 3: Cross multiply
    6,714.84x = 10,068.64 × 3,018
  4. Step 4: Simplify right side
    6,714.84x = 30,387,155.52
  5. Step 5: Solve for x
    x = 30,387,155.52/6,714.84
  6. Step 6: Final answer
    x = 4,525.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.