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Finding the Fourth Proportional to 7,883, 10,876.62 and 5,193.94

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Solution

The fourth proportional to 7,883, 10,876.62 and 5,193.94 is: 7,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883 : 10,876.62 = 5,193.94 : x
  2. Step 2: Convert to fraction form
    7,883/10,876.62 = 5,193.94/x
  3. Step 3: Cross multiply
    7,883x = 10,876.62 × 5,193.94
  4. Step 4: Simplify right side
    7,883x = 56,492,511.68
  5. Step 5: Solve for x
    x = 56,492,511.68/7,883
  6. Step 6: Final answer
    x = 7,166.37

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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.