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Finding the Fourth Proportional to 6,967.97, 9,615.95 and 3,824.16

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Solution

The fourth proportional to 6,967.97, 9,615.95 and 3,824.16 is: 5,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.97 : 9,615.95 = 3,824.16 : x
  2. Step 2: Convert to fraction form
    6,967.97/9,615.95 = 3,824.16/x
  3. Step 3: Cross multiply
    6,967.97x = 9,615.95 × 3,824.16
  4. Step 4: Simplify right side
    6,967.97x = 36,772,931.35
  5. Step 5: Solve for x
    x = 36,772,931.35/6,967.97
  6. Step 6: Final answer
    x = 5,277.42

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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.