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Finding the Fourth Proportional to 15,164.81, 22,760 and 6,406.01

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Solution

The fourth proportional to 15,164.81, 22,760 and 6,406.01 is: 9,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.81 : 22,760 = 6,406.01 : x
  2. Step 2: Convert to fraction form
    15,164.81/22,760 = 6,406.01/x
  3. Step 3: Cross multiply
    15,164.81x = 22,760 × 6,406.01
  4. Step 4: Simplify right side
    15,164.81x = 145,800,787.60
  5. Step 5: Solve for x
    x = 145,800,787.60/15,164.81
  6. Step 6: Final answer
    x = 9,614.42

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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.