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Finding the Fourth Proportional to 6,967.76, 9,615.66 and 3,824.15

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Solution

The fourth proportional to 6,967.76, 9,615.66 and 3,824.15 is: 5,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.76 : 9,615.66 = 3,824.15 : x
  2. Step 2: Convert to fraction form
    6,967.76/9,615.66 = 3,824.15/x
  3. Step 3: Cross multiply
    6,967.76x = 9,615.66 × 3,824.15
  4. Step 4: Simplify right side
    6,967.76x = 36,771,726.19
  5. Step 5: Solve for x
    x = 36,771,726.19/6,967.76
  6. Step 6: Final answer
    x = 5,277.41

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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.