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Finding the Fourth Proportional to 6,714.01, 10,071.56 and 2,271.64

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Solution

The fourth proportional to 6,714.01, 10,071.56 and 2,271.64 is: 3,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.01 : 10,071.56 = 2,271.64 : x
  2. Step 2: Convert to fraction form
    6,714.01/10,071.56 = 2,271.64/x
  3. Step 3: Cross multiply
    6,714.01x = 10,071.56 × 2,271.64
  4. Step 4: Simplify right side
    6,714.01x = 22,878,896.84
  5. Step 5: Solve for x
    x = 22,878,896.84/6,714.01
  6. Step 6: Final answer
    x = 3,407.64

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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.