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Finding the Fourth Proportional to 6,698.09, 10,051.74 and 2,315.56

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Solution

The fourth proportional to 6,698.09, 10,051.74 and 2,315.56 is: 3,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.09 : 10,051.74 = 2,315.56 : x
  2. Step 2: Convert to fraction form
    6,698.09/10,051.74 = 2,315.56/x
  3. Step 3: Cross multiply
    6,698.09x = 10,051.74 × 2,315.56
  4. Step 4: Simplify right side
    6,698.09x = 23,275,407.07
  5. Step 5: Solve for x
    x = 23,275,407.07/6,698.09
  6. Step 6: Final answer
    x = 3,474.93

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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.