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Finding the Fourth Proportional to 6,214.86, 9,367.92 and 6,127.38

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Solution

The fourth proportional to 6,214.86, 9,367.92 and 6,127.38 is: 9,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.86 : 9,367.92 = 6,127.38 : x
  2. Step 2: Convert to fraction form
    6,214.86/9,367.92 = 6,127.38/x
  3. Step 3: Cross multiply
    6,214.86x = 9,367.92 × 6,127.38
  4. Step 4: Simplify right side
    6,214.86x = 57,400,805.65
  5. Step 5: Solve for x
    x = 57,400,805.65/6,214.86
  6. Step 6: Final answer
    x = 9,236.06

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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.