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Finding the Fourth Proportional to 7,728.36, 11,582.82 and 5,094.24

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Solution

The fourth proportional to 7,728.36, 11,582.82 and 5,094.24 is: 7,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.36 : 11,582.82 = 5,094.24 : x
  2. Step 2: Convert to fraction form
    7,728.36/11,582.82 = 5,094.24/x
  3. Step 3: Cross multiply
    7,728.36x = 11,582.82 × 5,094.24
  4. Step 4: Simplify right side
    7,728.36x = 59,005,664.96
  5. Step 5: Solve for x
    x = 59,005,664.96/7,728.36
  6. Step 6: Final answer
    x = 7,634.95

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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.