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Finding the Fourth Proportional to 6,972.48, 9,622.08 and 3,828.48

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Solution

The fourth proportional to 6,972.48, 9,622.08 and 3,828.48 is: 5,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.48 : 9,622.08 = 3,828.48 : x
  2. Step 2: Convert to fraction form
    6,972.48/9,622.08 = 3,828.48/x
  3. Step 3: Cross multiply
    6,972.48x = 9,622.08 × 3,828.48
  4. Step 4: Simplify right side
    6,972.48x = 36,837,940.84
  5. Step 5: Solve for x
    x = 36,837,940.84/6,972.48
  6. Step 6: Final answer
    x = 5,283.33

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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.