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Finding the Fourth Proportional to 6,901.98, 10,352.86 and 1,707.86

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Solution

The fourth proportional to 6,901.98, 10,352.86 and 1,707.86 is: 2,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.98 : 10,352.86 = 1,707.86 : x
  2. Step 2: Convert to fraction form
    6,901.98/10,352.86 = 1,707.86/x
  3. Step 3: Cross multiply
    6,901.98x = 10,352.86 × 1,707.86
  4. Step 4: Simplify right side
    6,901.98x = 17,681,235.48
  5. Step 5: Solve for x
    x = 17,681,235.48/6,901.98
  6. Step 6: Final answer
    x = 2,561.76

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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.