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Finding the Fourth Proportional to 6,456.82, 9,683.95 and 1,775.62

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Solution

The fourth proportional to 6,456.82, 9,683.95 and 1,775.62 is: 2,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.82 : 9,683.95 = 1,775.62 : x
  2. Step 2: Convert to fraction form
    6,456.82/9,683.95 = 1,775.62/x
  3. Step 3: Cross multiply
    6,456.82x = 9,683.95 × 1,775.62
  4. Step 4: Simplify right side
    6,456.82x = 17,194,970.11
  5. Step 5: Solve for x
    x = 17,194,970.11/6,456.82
  6. Step 6: Final answer
    x = 2,663.07

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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.