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Finding the Fourth Proportional to 9,912.69, 14,871.51 and 6,996.69

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Solution

The fourth proportional to 9,912.69, 14,871.51 and 6,996.69 is: 10,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.69 : 14,871.51 = 6,996.69 : x
  2. Step 2: Convert to fraction form
    9,912.69/14,871.51 = 6,996.69/x
  3. Step 3: Cross multiply
    9,912.69x = 14,871.51 × 6,996.69
  4. Step 4: Simplify right side
    9,912.69x = 104,051,345.30
  5. Step 5: Solve for x
    x = 104,051,345.30/9,912.69
  6. Step 6: Final answer
    x = 10,496.78

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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.