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Finding the Fourth Proportional to 6,714.30, 10,071.45 and 4,964.70

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Solution

The fourth proportional to 6,714.30, 10,071.45 and 4,964.70 is: 7,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.30 : 10,071.45 = 4,964.70 : x
  2. Step 2: Convert to fraction form
    6,714.30/10,071.45 = 4,964.70/x
  3. Step 3: Cross multiply
    6,714.30x = 10,071.45 × 4,964.70
  4. Step 4: Simplify right side
    6,714.30x = 50,001,727.82
  5. Step 5: Solve for x
    x = 50,001,727.82/6,714.30
  6. Step 6: Final answer
    x = 7,447.05

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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.