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Finding the Fourth Proportional to 7,847.88, 10,830.42 and 4,704

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Solution

The fourth proportional to 7,847.88, 10,830.42 and 4,704 is: 6,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.88 : 10,830.42 = 4,704 : x
  2. Step 2: Convert to fraction form
    7,847.88/10,830.42 = 4,704/x
  3. Step 3: Cross multiply
    7,847.88x = 10,830.42 × 4,704
  4. Step 4: Simplify right side
    7,847.88x = 50,946,295.68
  5. Step 5: Solve for x
    x = 50,946,295.68/7,847.88
  6. Step 6: Final answer
    x = 6,491.73

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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.