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Finding the Fourth Proportional to 6,574.84, 9,072.46 and 3,885.74

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Solution

The fourth proportional to 6,574.84, 9,072.46 and 3,885.74 is: 5,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.84 : 9,072.46 = 3,885.74 : x
  2. Step 2: Convert to fraction form
    6,574.84/9,072.46 = 3,885.74/x
  3. Step 3: Cross multiply
    6,574.84x = 9,072.46 × 3,885.74
  4. Step 4: Simplify right side
    6,574.84x = 35,253,253.12
  5. Step 5: Solve for x
    x = 35,253,253.12/6,574.84
  6. Step 6: Final answer
    x = 5,361.84

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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.