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Finding the Fourth Proportional to 6,700.97, 10,051.50 and 2,021.00

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Solution

The fourth proportional to 6,700.97, 10,051.50 and 2,021.00 is: 3,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.97 : 10,051.50 = 2,021.00 : x
  2. Step 2: Convert to fraction form
    6,700.97/10,051.50 = 2,021.00/x
  3. Step 3: Cross multiply
    6,700.97x = 10,051.50 × 2,021.00
  4. Step 4: Simplify right side
    6,700.97x = 20,314,031.24
  5. Step 5: Solve for x
    x = 20,314,031.24/6,700.97
  6. Step 6: Final answer
    x = 3,031.51

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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.