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Finding the Fourth Proportional to 7,652.56, 11,468.06 and 6,085.60

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Solution

The fourth proportional to 7,652.56, 11,468.06 and 6,085.60 is: 9,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.56 : 11,468.06 = 6,085.60 : x
  2. Step 2: Convert to fraction form
    7,652.56/11,468.06 = 6,085.60/x
  3. Step 3: Cross multiply
    7,652.56x = 11,468.06 × 6,085.60
  4. Step 4: Simplify right side
    7,652.56x = 69,790,025.94
  5. Step 5: Solve for x
    x = 69,790,025.94/7,652.56
  6. Step 6: Final answer
    x = 9,119.83

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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.