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Finding the Fourth Proportional to 6,101.51, 8,422.05 and 3,583.55

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Solution

The fourth proportional to 6,101.51, 8,422.05 and 3,583.55 is: 4,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.51 : 8,422.05 = 3,583.55 : x
  2. Step 2: Convert to fraction form
    6,101.51/8,422.05 = 3,583.55/x
  3. Step 3: Cross multiply
    6,101.51x = 8,422.05 × 3,583.55
  4. Step 4: Simplify right side
    6,101.51x = 30,180,858.33
  5. Step 5: Solve for x
    x = 30,180,858.33/6,101.51
  6. Step 6: Final answer
    x = 4,946.46

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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.