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Finding the Fourth Proportional to 7,843.80, 10,824.18 and 4,258.56

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Solution

The fourth proportional to 7,843.80, 10,824.18 and 4,258.56 is: 5,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.80 : 10,824.18 = 4,258.56 : x
  2. Step 2: Convert to fraction form
    7,843.80/10,824.18 = 4,258.56/x
  3. Step 3: Cross multiply
    7,843.80x = 10,824.18 × 4,258.56
  4. Step 4: Simplify right side
    7,843.80x = 46,095,419.98
  5. Step 5: Solve for x
    x = 46,095,419.98/7,843.80
  6. Step 6: Final answer
    x = 5,876.67

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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.