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Finding the Fourth Proportional to 6,586.19, 9,877.66 and 1,969.19

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Solution

The fourth proportional to 6,586.19, 9,877.66 and 1,969.19 is: 2,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.19 : 9,877.66 = 1,969.19 : x
  2. Step 2: Convert to fraction form
    6,586.19/9,877.66 = 1,969.19/x
  3. Step 3: Cross multiply
    6,586.19x = 9,877.66 × 1,969.19
  4. Step 4: Simplify right side
    6,586.19x = 19,450,934.98
  5. Step 5: Solve for x
    x = 19,450,934.98/6,586.19
  6. Step 6: Final answer
    x = 2,953.29

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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.