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Finding the Fourth Proportional to 6,700.35, 10,047.67 and 2,748.87

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Solution

The fourth proportional to 6,700.35, 10,047.67 and 2,748.87 is: 4,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.35 : 10,047.67 = 2,748.87 : x
  2. Step 2: Convert to fraction form
    6,700.35/10,047.67 = 2,748.87/x
  3. Step 3: Cross multiply
    6,700.35x = 10,047.67 × 2,748.87
  4. Step 4: Simplify right side
    6,700.35x = 27,619,731.76
  5. Step 5: Solve for x
    x = 27,619,731.76/6,700.35
  6. Step 6: Final answer
    x = 4,122.13

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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.