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Finding the Fourth Proportional to 5,367.86, 7,368.14 and 4,765.22

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Solution

The fourth proportional to 5,367.86, 7,368.14 and 4,765.22 is: 6,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.86 : 7,368.14 = 4,765.22 : x
  2. Step 2: Convert to fraction form
    5,367.86/7,368.14 = 4,765.22/x
  3. Step 3: Cross multiply
    5,367.86x = 7,368.14 × 4,765.22
  4. Step 4: Simplify right side
    5,367.86x = 35,110,747.42
  5. Step 5: Solve for x
    x = 35,110,747.42/5,367.86
  6. Step 6: Final answer
    x = 6,540.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.