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Finding the Fourth Proportional to 6,575.76, 9,867.36 and 3,653.76

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Solution

The fourth proportional to 6,575.76, 9,867.36 and 3,653.76 is: 5,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.76 : 9,867.36 = 3,653.76 : x
  2. Step 2: Convert to fraction form
    6,575.76/9,867.36 = 3,653.76/x
  3. Step 3: Cross multiply
    6,575.76x = 9,867.36 × 3,653.76
  4. Step 4: Simplify right side
    6,575.76x = 36,052,965.27
  5. Step 5: Solve for x
    x = 36,052,965.27/6,575.76
  6. Step 6: Final answer
    x = 5,482.71

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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.