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Finding the Fourth Proportional to 6,429.49, 9,627.21 and 5,258.23

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Solution

The fourth proportional to 6,429.49, 9,627.21 and 5,258.23 is: 7,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.49 : 9,627.21 = 5,258.23 : x
  2. Step 2: Convert to fraction form
    6,429.49/9,627.21 = 5,258.23/x
  3. Step 3: Cross multiply
    6,429.49x = 9,627.21 × 5,258.23
  4. Step 4: Simplify right side
    6,429.49x = 50,622,084.44
  5. Step 5: Solve for x
    x = 50,622,084.44/6,429.49
  6. Step 6: Final answer
    x = 7,873.42

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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.