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Finding the Fourth Proportional to 6,551.69, 9,829.05 and 1,871.76

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Solution

The fourth proportional to 6,551.69, 9,829.05 and 1,871.76 is: 2,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.69 : 9,829.05 = 1,871.76 : x
  2. Step 2: Convert to fraction form
    6,551.69/9,829.05 = 1,871.76/x
  3. Step 3: Cross multiply
    6,551.69x = 9,829.05 × 1,871.76
  4. Step 4: Simplify right side
    6,551.69x = 18,397,597.18
  5. Step 5: Solve for x
    x = 18,397,597.18/6,551.69
  6. Step 6: Final answer
    x = 2,808.07

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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.