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Finding the Fourth Proportional to 6,967.81, 9,615.68 and 3,824.07

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Solution

The fourth proportional to 6,967.81, 9,615.68 and 3,824.07 is: 5,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.81 : 9,615.68 = 3,824.07 : x
  2. Step 2: Convert to fraction form
    6,967.81/9,615.68 = 3,824.07/x
  3. Step 3: Cross multiply
    6,967.81x = 9,615.68 × 3,824.07
  4. Step 4: Simplify right side
    6,967.81x = 36,771,033.42
  5. Step 5: Solve for x
    x = 36,771,033.42/6,967.81
  6. Step 6: Final answer
    x = 5,277.27

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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.