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Finding the Fourth Proportional to 8,000.23, 12,000.81 and 2,453.63

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Solution

The fourth proportional to 8,000.23, 12,000.81 and 2,453.63 is: 3,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.23 : 12,000.81 = 2,453.63 : x
  2. Step 2: Convert to fraction form
    8,000.23/12,000.81 = 2,453.63/x
  3. Step 3: Cross multiply
    8,000.23x = 12,000.81 × 2,453.63
  4. Step 4: Simplify right side
    8,000.23x = 29,445,547.44
  5. Step 5: Solve for x
    x = 29,445,547.44/8,000.23
  6. Step 6: Final answer
    x = 3,680.59

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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.