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Finding the Fourth Proportional to 6,972.78, 9,626.94 and 4,323

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Solution

The fourth proportional to 6,972.78, 9,626.94 and 4,323 is: 5,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.78 : 9,626.94 = 4,323 : x
  2. Step 2: Convert to fraction form
    6,972.78/9,626.94 = 4,323/x
  3. Step 3: Cross multiply
    6,972.78x = 9,626.94 × 4,323
  4. Step 4: Simplify right side
    6,972.78x = 41,617,261.62
  5. Step 5: Solve for x
    x = 41,617,261.62/6,972.78
  6. Step 6: Final answer
    x = 5,968.53

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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.