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Finding the Fourth Proportional to 6,419.28, 8,839.56 and 5,954.64

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Solution

The fourth proportional to 6,419.28, 8,839.56 and 5,954.64 is: 8,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.28 : 8,839.56 = 5,954.64 : x
  2. Step 2: Convert to fraction form
    6,419.28/8,839.56 = 5,954.64/x
  3. Step 3: Cross multiply
    6,419.28x = 8,839.56 × 5,954.64
  4. Step 4: Simplify right side
    6,419.28x = 52,636,397.56
  5. Step 5: Solve for x
    x = 52,636,397.56/6,419.28
  6. Step 6: Final answer
    x = 8,199.74

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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.