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Finding the Fourth Proportional to 6,714.65, 10,071.29 and 1,784.79

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Solution

The fourth proportional to 6,714.65, 10,071.29 and 1,784.79 is: 2,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.65 : 10,071.29 = 1,784.79 : x
  2. Step 2: Convert to fraction form
    6,714.65/10,071.29 = 1,784.79/x
  3. Step 3: Cross multiply
    6,714.65x = 10,071.29 × 1,784.79
  4. Step 4: Simplify right side
    6,714.65x = 17,975,142.14
  5. Step 5: Solve for x
    x = 17,975,142.14/6,714.65
  6. Step 6: Final answer
    x = 2,677.00

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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.