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Finding the Fourth Proportional to 5,927.81, 8,922.27 and 5,213.39

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Solution

The fourth proportional to 5,927.81, 8,922.27 and 5,213.39 is: 7,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.81 : 8,922.27 = 5,213.39 : x
  2. Step 2: Convert to fraction form
    5,927.81/8,922.27 = 5,213.39/x
  3. Step 3: Cross multiply
    5,927.81x = 8,922.27 × 5,213.39
  4. Step 4: Simplify right side
    5,927.81x = 46,515,248.13
  5. Step 5: Solve for x
    x = 46,515,248.13/5,927.81
  6. Step 6: Final answer
    x = 7,846.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.