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Finding the Fourth Proportional to 6,577, 9,076.62 and 3,782.68

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Solution

The fourth proportional to 6,577, 9,076.62 and 3,782.68 is: 5,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577 : 9,076.62 = 3,782.68 : x
  2. Step 2: Convert to fraction form
    6,577/9,076.62 = 3,782.68/x
  3. Step 3: Cross multiply
    6,577x = 9,076.62 × 3,782.68
  4. Step 4: Simplify right side
    6,577x = 34,333,948.94
  5. Step 5: Solve for x
    x = 34,333,948.94/6,577
  6. Step 6: Final answer
    x = 5,220.31

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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.