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Finding the Fourth Proportional to 6,713, 10,071.64 and 2,816.36

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Solution

The fourth proportional to 6,713, 10,071.64 and 2,816.36 is: 4,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713 : 10,071.64 = 2,816.36 : x
  2. Step 2: Convert to fraction form
    6,713/10,071.64 = 2,816.36/x
  3. Step 3: Cross multiply
    6,713x = 10,071.64 × 2,816.36
  4. Step 4: Simplify right side
    6,713x = 28,365,364.03
  5. Step 5: Solve for x
    x = 28,365,364.03/6,713
  6. Step 6: Final answer
    x = 4,225.44

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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.