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Finding the Fourth Proportional to 9,258.68, 13,889.10 and 5,796.20

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Solution

The fourth proportional to 9,258.68, 13,889.10 and 5,796.20 is: 8,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.68 : 13,889.10 = 5,796.20 : x
  2. Step 2: Convert to fraction form
    9,258.68/13,889.10 = 5,796.20/x
  3. Step 3: Cross multiply
    9,258.68x = 13,889.10 × 5,796.20
  4. Step 4: Simplify right side
    9,258.68x = 80,504,001.42
  5. Step 5: Solve for x
    x = 80,504,001.42/9,258.68
  6. Step 6: Final answer
    x = 8,694.98

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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.