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Finding the Fourth Proportional to 6,456.19, 9,683.01 and 1,774.99

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Solution

The fourth proportional to 6,456.19, 9,683.01 and 1,774.99 is: 2,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.19 : 9,683.01 = 1,774.99 : x
  2. Step 2: Convert to fraction form
    6,456.19/9,683.01 = 1,774.99/x
  3. Step 3: Cross multiply
    6,456.19x = 9,683.01 × 1,774.99
  4. Step 4: Simplify right side
    6,456.19x = 17,187,256.36
  5. Step 5: Solve for x
    x = 17,187,256.36/6,456.19
  6. Step 6: Final answer
    x = 2,662.14

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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.