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Finding the Fourth Proportional to 6,575.88, 9,076.74 and 3,783.24

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Solution

The fourth proportional to 6,575.88, 9,076.74 and 3,783.24 is: 5,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.88 : 9,076.74 = 3,783.24 : x
  2. Step 2: Convert to fraction form
    6,575.88/9,076.74 = 3,783.24/x
  3. Step 3: Cross multiply
    6,575.88x = 9,076.74 × 3,783.24
  4. Step 4: Simplify right side
    6,575.88x = 34,339,485.84
  5. Step 5: Solve for x
    x = 34,339,485.84/6,575.88
  6. Step 6: Final answer
    x = 5,222.04

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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.