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Finding the Fourth Proportional to 6,577.88, 9,077.74 and 3,783.38

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Solution

The fourth proportional to 6,577.88, 9,077.74 and 3,783.38 is: 5,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.88 : 9,077.74 = 3,783.38 : x
  2. Step 2: Convert to fraction form
    6,577.88/9,077.74 = 3,783.38/x
  3. Step 3: Cross multiply
    6,577.88x = 9,077.74 × 3,783.38
  4. Step 4: Simplify right side
    6,577.88x = 34,344,485.11
  5. Step 5: Solve for x
    x = 34,344,485.11/6,577.88
  6. Step 6: Final answer
    x = 5,221.21

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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.