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Finding the Fourth Proportional to 16,142.48, 24,214.20 and 6,902.48

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Solution

The fourth proportional to 16,142.48, 24,214.20 and 6,902.48 is: 10,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.48 : 24,214.20 = 6,902.48 : x
  2. Step 2: Convert to fraction form
    16,142.48/24,214.20 = 6,902.48/x
  3. Step 3: Cross multiply
    16,142.48x = 24,214.20 × 6,902.48
  4. Step 4: Simplify right side
    16,142.48x = 167,138,031.22
  5. Step 5: Solve for x
    x = 167,138,031.22/16,142.48
  6. Step 6: Final answer
    x = 10,353.93

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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.