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Finding the Fourth Proportional to 6,596.36, 9,893.70 and 1,852.95

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Solution

The fourth proportional to 6,596.36, 9,893.70 and 1,852.95 is: 2,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.36 : 9,893.70 = 1,852.95 : x
  2. Step 2: Convert to fraction form
    6,596.36/9,893.70 = 1,852.95/x
  3. Step 3: Cross multiply
    6,596.36x = 9,893.70 × 1,852.95
  4. Step 4: Simplify right side
    6,596.36x = 18,332,531.42
  5. Step 5: Solve for x
    x = 18,332,531.42/6,596.36
  6. Step 6: Final answer
    x = 2,779.19

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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.