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Finding the Fourth Proportional to 4,965.22, 6,852.36 and 3,283.72

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Solution

The fourth proportional to 4,965.22, 6,852.36 and 3,283.72 is: 4,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.22 : 6,852.36 = 3,283.72 : x
  2. Step 2: Convert to fraction form
    4,965.22/6,852.36 = 3,283.72/x
  3. Step 3: Cross multiply
    4,965.22x = 6,852.36 × 3,283.72
  4. Step 4: Simplify right side
    4,965.22x = 22,501,231.58
  5. Step 5: Solve for x
    x = 22,501,231.58/4,965.22
  6. Step 6: Final answer
    x = 4,531.77

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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.