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Finding the Fourth Proportional to 16,407.96, 24,614.40 and 5,310.96

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Solution

The fourth proportional to 16,407.96, 24,614.40 and 5,310.96 is: 7,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.96 : 24,614.40 = 5,310.96 : x
  2. Step 2: Convert to fraction form
    16,407.96/24,614.40 = 5,310.96/x
  3. Step 3: Cross multiply
    16,407.96x = 24,614.40 × 5,310.96
  4. Step 4: Simplify right side
    16,407.96x = 130,726,093.82
  5. Step 5: Solve for x
    x = 130,726,093.82/16,407.96
  6. Step 6: Final answer
    x = 7,967.24

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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.