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Finding the Fourth Proportional to 8,204.76, 12,307.08 and 2,048.76

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Solution

The fourth proportional to 8,204.76, 12,307.08 and 2,048.76 is: 3,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.76 : 12,307.08 = 2,048.76 : x
  2. Step 2: Convert to fraction form
    8,204.76/12,307.08 = 2,048.76/x
  3. Step 3: Cross multiply
    8,204.76x = 12,307.08 × 2,048.76
  4. Step 4: Simplify right side
    8,204.76x = 25,214,253.22
  5. Step 5: Solve for x
    x = 25,214,253.22/8,204.76
  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.