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Finding the Fourth Proportional to 6,728.64, 10,074 and 4,749.60

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Solution

The fourth proportional to 6,728.64, 10,074 and 4,749.60 is: 7,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.64 : 10,074 = 4,749.60 : x
  2. Step 2: Convert to fraction form
    6,728.64/10,074 = 4,749.60/x
  3. Step 3: Cross multiply
    6,728.64x = 10,074 × 4,749.60
  4. Step 4: Simplify right side
    6,728.64x = 47,847,470.40
  5. Step 5: Solve for x
    x = 47,847,470.40/6,728.64
  6. Step 6: Final answer
    x = 7,111.02

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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.