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Finding the Fourth Proportional to 7,851.69, 10,834.70 and 4,493.73

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Solution

The fourth proportional to 7,851.69, 10,834.70 and 4,493.73 is: 6,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.69 : 10,834.70 = 4,493.73 : x
  2. Step 2: Convert to fraction form
    7,851.69/10,834.70 = 4,493.73/x
  3. Step 3: Cross multiply
    7,851.69x = 10,834.70 × 4,493.73
  4. Step 4: Simplify right side
    7,851.69x = 48,688,193.96
  5. Step 5: Solve for x
    x = 48,688,193.96/7,851.69
  6. Step 6: Final answer
    x = 6,200.99

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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.