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Finding the Fourth Proportional to 6,483.25, 9,709.29 and 3,701.49

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Solution

The fourth proportional to 6,483.25, 9,709.29 and 3,701.49 is: 5,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.25 : 9,709.29 = 3,701.49 : x
  2. Step 2: Convert to fraction form
    6,483.25/9,709.29 = 3,701.49/x
  3. Step 3: Cross multiply
    6,483.25x = 9,709.29 × 3,701.49
  4. Step 4: Simplify right side
    6,483.25x = 35,938,866.50
  5. Step 5: Solve for x
    x = 35,938,866.50/6,483.25
  6. Step 6: Final answer
    x = 5,543.34

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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.