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Finding the Fourth Proportional to 7,883.40, 11,825.06 and 5,410.70

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Solution

The fourth proportional to 7,883.40, 11,825.06 and 5,410.70 is: 8,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.40 : 11,825.06 = 5,410.70 : x
  2. Step 2: Convert to fraction form
    7,883.40/11,825.06 = 5,410.70/x
  3. Step 3: Cross multiply
    7,883.40x = 11,825.06 × 5,410.70
  4. Step 4: Simplify right side
    7,883.40x = 63,981,852.14
  5. Step 5: Solve for x
    x = 63,981,852.14/7,883.40
  6. Step 6: Final answer
    x = 8,116.02

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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.