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Finding the Fourth Proportional to 6,717.63, 10,071.63 and 3,157.76

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Solution

The fourth proportional to 6,717.63, 10,071.63 and 3,157.76 is: 4,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.63 : 10,071.63 = 3,157.76 : x
  2. Step 2: Convert to fraction form
    6,717.63/10,071.63 = 3,157.76/x
  3. Step 3: Cross multiply
    6,717.63x = 10,071.63 × 3,157.76
  4. Step 4: Simplify right side
    6,717.63x = 31,803,739.99
  5. Step 5: Solve for x
    x = 31,803,739.99/6,717.63
  6. Step 6: Final answer
    x = 4,734.37

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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.