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Finding the Fourth Proportional to 6,842.63, 10,263.94 and 1,648.50

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Solution

The fourth proportional to 6,842.63, 10,263.94 and 1,648.50 is: 2,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.63 : 10,263.94 = 1,648.50 : x
  2. Step 2: Convert to fraction form
    6,842.63/10,263.94 = 1,648.50/x
  3. Step 3: Cross multiply
    6,842.63x = 10,263.94 × 1,648.50
  4. Step 4: Simplify right side
    6,842.63x = 16,920,105.09
  5. Step 5: Solve for x
    x = 16,920,105.09/6,842.63
  6. Step 6: Final answer
    x = 2,472.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.