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Finding the Fourth Proportional to 7,704.51, 11,550.71 and 3,258.54

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Solution

The fourth proportional to 7,704.51, 11,550.71 and 3,258.54 is: 4,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.51 : 11,550.71 = 3,258.54 : x
  2. Step 2: Convert to fraction form
    7,704.51/11,550.71 = 3,258.54/x
  3. Step 3: Cross multiply
    7,704.51x = 11,550.71 × 3,258.54
  4. Step 4: Simplify right side
    7,704.51x = 37,638,415.39
  5. Step 5: Solve for x
    x = 37,638,415.39/7,704.51
  6. Step 6: Final answer
    x = 4,885.24

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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.