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Finding the Fourth Proportional to 7,778.44, 10,728.18 and 4,984.20

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Solution

The fourth proportional to 7,778.44, 10,728.18 and 4,984.20 is: 6,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.44 : 10,728.18 = 4,984.20 : x
  2. Step 2: Convert to fraction form
    7,778.44/10,728.18 = 4,984.20/x
  3. Step 3: Cross multiply
    7,778.44x = 10,728.18 × 4,984.20
  4. Step 4: Simplify right side
    7,778.44x = 53,471,394.76
  5. Step 5: Solve for x
    x = 53,471,394.76/7,778.44
  6. Step 6: Final answer
    x = 6,874.31

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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.