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Finding the Fourth Proportional to 8,204.75, 12,307.13 and 2,048.75

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Solution

The fourth proportional to 8,204.75, 12,307.13 and 2,048.75 is: 3,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.75 : 12,307.13 = 2,048.75 : x
  2. Step 2: Convert to fraction form
    8,204.75/12,307.13 = 2,048.75/x
  3. Step 3: Cross multiply
    8,204.75x = 12,307.13 × 2,048.75
  4. Step 4: Simplify right side
    8,204.75x = 25,214,222.34
  5. Step 5: Solve for x
    x = 25,214,222.34/8,204.75
  6. Step 6: Final answer
    x = 3,073.13

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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.