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Finding the Fourth Proportional to 6,177.78, 8,525.50 and 3,525.84

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Solution

The fourth proportional to 6,177.78, 8,525.50 and 3,525.84 is: 4,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.78 : 8,525.50 = 3,525.84 : x
  2. Step 2: Convert to fraction form
    6,177.78/8,525.50 = 3,525.84/x
  3. Step 3: Cross multiply
    6,177.78x = 8,525.50 × 3,525.84
  4. Step 4: Simplify right side
    6,177.78x = 30,059,548.92
  5. Step 5: Solve for x
    x = 30,059,548.92/6,177.78
  6. Step 6: Final answer
    x = 4,865.75

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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.