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Finding the Fourth Proportional to 6,967.98, 9,615.81 and 3,824.16

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Solution

The fourth proportional to 6,967.98, 9,615.81 and 3,824.16 is: 5,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.98 : 9,615.81 = 3,824.16 : x
  2. Step 2: Convert to fraction form
    6,967.98/9,615.81 = 3,824.16/x
  3. Step 3: Cross multiply
    6,967.98x = 9,615.81 × 3,824.16
  4. Step 4: Simplify right side
    6,967.98x = 36,772,395.97
  5. Step 5: Solve for x
    x = 36,772,395.97/6,967.98
  6. Step 6: Final answer
    x = 5,277.34

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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.