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Finding the Fourth Proportional to 4,626.90, 6,896.31 and 4,364.16

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Solution

The fourth proportional to 4,626.90, 6,896.31 and 4,364.16 is: 6,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.90 : 6,896.31 = 4,364.16 : x
  2. Step 2: Convert to fraction form
    4,626.90/6,896.31 = 4,364.16/x
  3. Step 3: Cross multiply
    4,626.90x = 6,896.31 × 4,364.16
  4. Step 4: Simplify right side
    4,626.90x = 30,096,600.25
  5. Step 5: Solve for x
    x = 30,096,600.25/4,626.90
  6. Step 6: Final answer
    x = 6,504.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.