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Finding the Fourth Proportional to 11,517.56, 15,895.04 and 6,482.26

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Solution

The fourth proportional to 11,517.56, 15,895.04 and 6,482.26 is: 8,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.56 : 15,895.04 = 6,482.26 : x
  2. Step 2: Convert to fraction form
    11,517.56/15,895.04 = 6,482.26/x
  3. Step 3: Cross multiply
    11,517.56x = 15,895.04 × 6,482.26
  4. Step 4: Simplify right side
    11,517.56x = 103,035,769.45
  5. Step 5: Solve for x
    x = 103,035,769.45/11,517.56
  6. Step 6: Final answer
    x = 8,945.97

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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.