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Finding the Fourth Proportional to 16,096.60, 24,144.90 and 5,709.40

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Solution

The fourth proportional to 16,096.60, 24,144.90 and 5,709.40 is: 8,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.60 : 24,144.90 = 5,709.40 : x
  2. Step 2: Convert to fraction form
    16,096.60/24,144.90 = 5,709.40/x
  3. Step 3: Cross multiply
    16,096.60x = 24,144.90 × 5,709.40
  4. Step 4: Simplify right side
    16,096.60x = 137,852,892.06
  5. Step 5: Solve for x
    x = 137,852,892.06/16,096.60
  6. Step 6: Final answer
    x = 8,564.10

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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.