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Finding the Fourth Proportional to 11,722.59, 16,180.08 and 7,952.06

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Solution

The fourth proportional to 11,722.59, 16,180.08 and 7,952.06 is: 10,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.59 : 16,180.08 = 7,952.06 : x
  2. Step 2: Convert to fraction form
    11,722.59/16,180.08 = 7,952.06/x
  3. Step 3: Cross multiply
    11,722.59x = 16,180.08 × 7,952.06
  4. Step 4: Simplify right side
    11,722.59x = 128,664,966.96
  5. Step 5: Solve for x
    x = 128,664,966.96/11,722.59
  6. Step 6: Final answer
    x = 10,975.81

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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.