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Finding the Fourth Proportional to 8,196.50, 12,295.95 and 2,648.00

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Solution

The fourth proportional to 8,196.50, 12,295.95 and 2,648.00 is: 3,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.50 : 12,295.95 = 2,648.00 : x
  2. Step 2: Convert to fraction form
    8,196.50/12,295.95 = 2,648.00/x
  3. Step 3: Cross multiply
    8,196.50x = 12,295.95 × 2,648.00
  4. Step 4: Simplify right side
    8,196.50x = 32,559,614.12
  5. Step 5: Solve for x
    x = 32,559,614.12/8,196.50
  6. Step 6: Final answer
    x = 3,972.38

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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.