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Finding the Fourth Proportional to 6,693.84, 9,237.24 and 3,669.12

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Solution

The fourth proportional to 6,693.84, 9,237.24 and 3,669.12 is: 5,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.84 : 9,237.24 = 3,669.12 : x
  2. Step 2: Convert to fraction form
    6,693.84/9,237.24 = 3,669.12/x
  3. Step 3: Cross multiply
    6,693.84x = 9,237.24 × 3,669.12
  4. Step 4: Simplify right side
    6,693.84x = 33,892,542.03
  5. Step 5: Solve for x
    x = 33,892,542.03/6,693.84
  6. Step 6: Final answer
    x = 5,063.24

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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.