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Finding the Fourth Proportional to 7,072.84, 9,766.26 and 6,325.48

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Solution

The fourth proportional to 7,072.84, 9,766.26 and 6,325.48 is: 8,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.84 : 9,766.26 = 6,325.48 : x
  2. Step 2: Convert to fraction form
    7,072.84/9,766.26 = 6,325.48/x
  3. Step 3: Cross multiply
    7,072.84x = 9,766.26 × 6,325.48
  4. Step 4: Simplify right side
    7,072.84x = 61,776,282.30
  5. Step 5: Solve for x
    x = 61,776,282.30/7,072.84
  6. Step 6: Final answer
    x = 8,734.30

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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.