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Finding the Fourth Proportional to 6,575.94, 9,867.54 and 3,655.86

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Solution

The fourth proportional to 6,575.94, 9,867.54 and 3,655.86 is: 5,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.94 : 9,867.54 = 3,655.86 : x
  2. Step 2: Convert to fraction form
    6,575.94/9,867.54 = 3,655.86/x
  3. Step 3: Cross multiply
    6,575.94x = 9,867.54 × 3,655.86
  4. Step 4: Simplify right side
    6,575.94x = 36,074,344.78
  5. Step 5: Solve for x
    x = 36,074,344.78/6,575.94
  6. Step 6: Final answer
    x = 5,485.81

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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.