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Finding the Fourth Proportional to 8,096.25, 12,148.02 and 4,633.50

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Solution

The fourth proportional to 8,096.25, 12,148.02 and 4,633.50 is: 6,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.25 : 12,148.02 = 4,633.50 : x
  2. Step 2: Convert to fraction form
    8,096.25/12,148.02 = 4,633.50/x
  3. Step 3: Cross multiply
    8,096.25x = 12,148.02 × 4,633.50
  4. Step 4: Simplify right side
    8,096.25x = 56,287,850.67
  5. Step 5: Solve for x
    x = 56,287,850.67/8,096.25
  6. Step 6: Final answer
    x = 6,952.34

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1.5x scale

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.