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Finding the Fourth Proportional to 11,612.44, 16,016.70 and 7,364.80

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Solution

The fourth proportional to 11,612.44, 16,016.70 and 7,364.80 is: 10,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.44 : 16,016.70 = 7,364.80 : x
  2. Step 2: Convert to fraction form
    11,612.44/16,016.70 = 7,364.80/x
  3. Step 3: Cross multiply
    11,612.44x = 16,016.70 × 7,364.80
  4. Step 4: Simplify right side
    11,612.44x = 117,959,792.16
  5. Step 5: Solve for x
    x = 117,959,792.16/11,612.44
  6. Step 6: Final answer
    x = 10,158.05

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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.