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Finding the Fourth Proportional to 9,794.93, 13,520.09 and 6,258.14

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Solution

The fourth proportional to 9,794.93, 13,520.09 and 6,258.14 is: 8,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.93 : 13,520.09 = 6,258.14 : x
  2. Step 2: Convert to fraction form
    9,794.93/13,520.09 = 6,258.14/x
  3. Step 3: Cross multiply
    9,794.93x = 13,520.09 × 6,258.14
  4. Step 4: Simplify right side
    9,794.93x = 84,610,517.14
  5. Step 5: Solve for x
    x = 84,610,517.14/9,794.93
  6. Step 6: Final answer
    x = 8,638.20

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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.