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Finding the Fourth Proportional to 6,454.71, 9,682.98 and 2,070.69

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Solution

The fourth proportional to 6,454.71, 9,682.98 and 2,070.69 is: 3,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.71 : 9,682.98 = 2,070.69 : x
  2. Step 2: Convert to fraction form
    6,454.71/9,682.98 = 2,070.69/x
  3. Step 3: Cross multiply
    6,454.71x = 9,682.98 × 2,070.69
  4. Step 4: Simplify right side
    6,454.71x = 20,050,405.78
  5. Step 5: Solve for x
    x = 20,050,405.78/6,454.71
  6. Step 6: Final answer
    x = 3,106.32

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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.