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Finding the Fourth Proportional to 6,461.56, 9,683.08 and 3,682.50

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Solution

The fourth proportional to 6,461.56, 9,683.08 and 3,682.50 is: 5,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.56 : 9,683.08 = 3,682.50 : x
  2. Step 2: Convert to fraction form
    6,461.56/9,683.08 = 3,682.50/x
  3. Step 3: Cross multiply
    6,461.56x = 9,683.08 × 3,682.50
  4. Step 4: Simplify right side
    6,461.56x = 35,657,942.10
  5. Step 5: Solve for x
    x = 35,657,942.10/6,461.56
  6. Step 6: Final answer
    x = 5,518.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.