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Finding the Fourth Proportional to 10,697.96, 16,025.10 and 6,302.12

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Solution

The fourth proportional to 10,697.96, 16,025.10 and 6,302.12 is: 9,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.96 : 16,025.10 = 6,302.12 : x
  2. Step 2: Convert to fraction form
    10,697.96/16,025.10 = 6,302.12/x
  3. Step 3: Cross multiply
    10,697.96x = 16,025.10 × 6,302.12
  4. Step 4: Simplify right side
    10,697.96x = 100,992,103.21
  5. Step 5: Solve for x
    x = 100,992,103.21/10,697.96
  6. Step 6: Final answer
    x = 9,440.31

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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.