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Finding the Fourth Proportional to 6,571.80, 9,849.54 and 5,784.48

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Solution

The fourth proportional to 6,571.80, 9,849.54 and 5,784.48 is: 8,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.80 : 9,849.54 = 5,784.48 : x
  2. Step 2: Convert to fraction form
    6,571.80/9,849.54 = 5,784.48/x
  3. Step 3: Cross multiply
    6,571.80x = 9,849.54 × 5,784.48
  4. Step 4: Simplify right side
    6,571.80x = 56,974,467.14
  5. Step 5: Solve for x
    x = 56,974,467.14/6,571.80
  6. Step 6: Final answer
    x = 8,669.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.