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Finding the Fourth Proportional to 11,517.75, 15,895.29 and 6,482.45

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Solution

The fourth proportional to 11,517.75, 15,895.29 and 6,482.45 is: 8,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.75 : 15,895.29 = 6,482.45 : x
  2. Step 2: Convert to fraction form
    11,517.75/15,895.29 = 6,482.45/x
  3. Step 3: Cross multiply
    11,517.75x = 15,895.29 × 6,482.45
  4. Step 4: Simplify right side
    11,517.75x = 103,040,343.18
  5. Step 5: Solve for x
    x = 103,040,343.18/11,517.75
  6. Step 6: Final answer
    x = 8,946.22

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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.