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Finding the Fourth Proportional to 7,843.50, 10,823.94 and 4,307.04

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Solution

The fourth proportional to 7,843.50, 10,823.94 and 4,307.04 is: 5,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.50 : 10,823.94 = 4,307.04 : x
  2. Step 2: Convert to fraction form
    7,843.50/10,823.94 = 4,307.04/x
  3. Step 3: Cross multiply
    7,843.50x = 10,823.94 × 4,307.04
  4. Step 4: Simplify right side
    7,843.50x = 46,619,142.54
  5. Step 5: Solve for x
    x = 46,619,142.54/7,843.50
  6. Step 6: Final answer
    x = 5,943.67

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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.