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Finding the Fourth Proportional to 8,283.87, 11,430.42 and 4,926.22

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Solution

The fourth proportional to 8,283.87, 11,430.42 and 4,926.22 is: 6,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.87 : 11,430.42 = 4,926.22 : x
  2. Step 2: Convert to fraction form
    8,283.87/11,430.42 = 4,926.22/x
  3. Step 3: Cross multiply
    8,283.87x = 11,430.42 × 4,926.22
  4. Step 4: Simplify right side
    8,283.87x = 56,308,716.56
  5. Step 5: Solve for x
    x = 56,308,716.56/8,283.87
  6. Step 6: Final answer
    x = 6,797.39

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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.