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Finding the Fourth Proportional to 6,842.36, 10,263.56 and 1,648.24

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Solution

The fourth proportional to 6,842.36, 10,263.56 and 1,648.24 is: 2,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.36 : 10,263.56 = 1,648.24 : x
  2. Step 2: Convert to fraction form
    6,842.36/10,263.56 = 1,648.24/x
  3. Step 3: Cross multiply
    6,842.36x = 10,263.56 × 1,648.24
  4. Step 4: Simplify right side
    6,842.36x = 16,916,810.13
  5. Step 5: Solve for x
    x = 16,916,810.13/6,842.36
  6. Step 6: Final answer
    x = 2,472.36

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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.