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Finding the Fourth Proportional to 6,574.34, 9,072.46 and 4,055.44

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Solution

The fourth proportional to 6,574.34, 9,072.46 and 4,055.44 is: 5,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.34 : 9,072.46 = 4,055.44 : x
  2. Step 2: Convert to fraction form
    6,574.34/9,072.46 = 4,055.44/x
  3. Step 3: Cross multiply
    6,574.34x = 9,072.46 × 4,055.44
  4. Step 4: Simplify right side
    6,574.34x = 36,792,817.18
  5. Step 5: Solve for x
    x = 36,792,817.18/6,574.34
  6. Step 6: Final answer
    x = 5,596.43

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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.