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Finding the Fourth Proportional to 6,289.86, 9,362.93 and 6,196.44

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Solution

The fourth proportional to 6,289.86, 9,362.93 and 6,196.44 is: 9,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.86 : 9,362.93 = 6,196.44 : x
  2. Step 2: Convert to fraction form
    6,289.86/9,362.93 = 6,196.44/x
  3. Step 3: Cross multiply
    6,289.86x = 9,362.93 × 6,196.44
  4. Step 4: Simplify right side
    6,289.86x = 58,016,833.97
  5. Step 5: Solve for x
    x = 58,016,833.97/6,289.86
  6. Step 6: Final answer
    x = 9,223.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.