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Finding the Fourth Proportional to 8,048, 11,112.16 and 6,483.20

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Solution

The fourth proportional to 8,048, 11,112.16 and 6,483.20 is: 8,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 11,112.16 = 6,483.20 : x
  2. Step 2: Convert to fraction form
    8,048/11,112.16 = 6,483.20/x
  3. Step 3: Cross multiply
    8,048x = 11,112.16 × 6,483.20
  4. Step 4: Simplify right side
    8,048x = 72,042,355.71
  5. Step 5: Solve for x
    x = 72,042,355.71/8,048
  6. Step 6: Final answer
    x = 8,951.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.