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Finding the Fourth Proportional to 4,660.80, 6,415.20 and 4,401.60

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Solution

The fourth proportional to 4,660.80, 6,415.20 and 4,401.60 is: 6,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.80 : 6,415.20 = 4,401.60 : x
  2. Step 2: Convert to fraction form
    4,660.80/6,415.20 = 4,401.60/x
  3. Step 3: Cross multiply
    4,660.80x = 6,415.20 × 4,401.60
  4. Step 4: Simplify right side
    4,660.80x = 28,237,144.32
  5. Step 5: Solve for x
    x = 28,237,144.32/4,660.80
  6. Step 6: Final answer
    x = 6,058.43

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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.