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Finding the Fourth Proportional to 6,103.52, 8,422.84 and 3,309

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Solution

The fourth proportional to 6,103.52, 8,422.84 and 3,309 is: 4,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.52 : 8,422.84 = 3,309 : x
  2. Step 2: Convert to fraction form
    6,103.52/8,422.84 = 3,309/x
  3. Step 3: Cross multiply
    6,103.52x = 8,422.84 × 3,309
  4. Step 4: Simplify right side
    6,103.52x = 27,871,177.56
  5. Step 5: Solve for x
    x = 27,871,177.56/6,103.52
  6. Step 6: Final answer
    x = 4,566.41

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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.