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Finding the Fourth Proportional to 6,576, 9,087.84 and 5,876.16

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Solution

The fourth proportional to 6,576, 9,087.84 and 5,876.16 is: 8,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576 : 9,087.84 = 5,876.16 : x
  2. Step 2: Convert to fraction form
    6,576/9,087.84 = 5,876.16/x
  3. Step 3: Cross multiply
    6,576x = 9,087.84 × 5,876.16
  4. Step 4: Simplify right side
    6,576x = 53,401,601.89
  5. Step 5: Solve for x
    x = 53,401,601.89/6,576
  6. Step 6: Final answer
    x = 8,120.68

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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.