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Finding the Fourth Proportional to 6,258.84, 9,371.76 and 4,064.28

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Solution

The fourth proportional to 6,258.84, 9,371.76 and 4,064.28 is: 6,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.84 : 9,371.76 = 4,064.28 : x
  2. Step 2: Convert to fraction form
    6,258.84/9,371.76 = 4,064.28/x
  3. Step 3: Cross multiply
    6,258.84x = 9,371.76 × 4,064.28
  4. Step 4: Simplify right side
    6,258.84x = 38,089,456.73
  5. Step 5: Solve for x
    x = 38,089,456.73/6,258.84
  6. Step 6: Final answer
    x = 6,085.71

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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.