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Finding the Fourth Proportional to 6,728.80, 10,089.60 and 2,346.40

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Solution

The fourth proportional to 6,728.80, 10,089.60 and 2,346.40 is: 3,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.80 : 10,089.60 = 2,346.40 : x
  2. Step 2: Convert to fraction form
    6,728.80/10,089.60 = 2,346.40/x
  3. Step 3: Cross multiply
    6,728.80x = 10,089.60 × 2,346.40
  4. Step 4: Simplify right side
    6,728.80x = 23,674,237.44
  5. Step 5: Solve for x
    x = 23,674,237.44/6,728.80
  6. Step 6: Final answer
    x = 3,518.34

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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.