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Finding the Fourth Proportional to 7,652.16, 11,476.89 and 2,104.16

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Solution

The fourth proportional to 7,652.16, 11,476.89 and 2,104.16 is: 3,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.16 : 11,476.89 = 2,104.16 : x
  2. Step 2: Convert to fraction form
    7,652.16/11,476.89 = 2,104.16/x
  3. Step 3: Cross multiply
    7,652.16x = 11,476.89 × 2,104.16
  4. Step 4: Simplify right side
    7,652.16x = 24,149,268.45
  5. Step 5: Solve for x
    x = 24,149,268.45/7,652.16
  6. Step 6: Final answer
    x = 3,155.88

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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.