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Finding the Fourth Proportional to 6,783.77, 9,359.80 and 4,394.47

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Solution

The fourth proportional to 6,783.77, 9,359.80 and 4,394.47 is: 6,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.77 : 9,359.80 = 4,394.47 : x
  2. Step 2: Convert to fraction form
    6,783.77/9,359.80 = 4,394.47/x
  3. Step 3: Cross multiply
    6,783.77x = 9,359.80 × 4,394.47
  4. Step 4: Simplify right side
    6,783.77x = 41,131,338.33
  5. Step 5: Solve for x
    x = 41,131,338.33/6,783.77
  6. Step 6: Final answer
    x = 6,063.20

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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.