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Finding the Fourth Proportional to 16,409.50, 24,614.25 and 4,097.50

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Solution

The fourth proportional to 16,409.50, 24,614.25 and 4,097.50 is: 6,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.50 : 24,614.25 = 4,097.50 : x
  2. Step 2: Convert to fraction form
    16,409.50/24,614.25 = 4,097.50/x
  3. Step 3: Cross multiply
    16,409.50x = 24,614.25 × 4,097.50
  4. Step 4: Simplify right side
    16,409.50x = 100,856,889.38
  5. Step 5: Solve for x
    x = 100,856,889.38/16,409.50
  6. Step 6: Final answer
    x = 6,146.25

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1.5x scale

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.