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Finding the Fourth Proportional to 4,640.84, 6,961.26 and 2,813

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Solution

The fourth proportional to 4,640.84, 6,961.26 and 2,813 is: 4,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.84 : 6,961.26 = 2,813 : x
  2. Step 2: Convert to fraction form
    4,640.84/6,961.26 = 2,813/x
  3. Step 3: Cross multiply
    4,640.84x = 6,961.26 × 2,813
  4. Step 4: Simplify right side
    4,640.84x = 19,582,024.38
  5. Step 5: Solve for x
    x = 19,582,024.38/4,640.84
  6. Step 6: Final answer
    x = 4,219.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.