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Finding the Fourth Proportional to 8,996.29, 12,426.98 and 8,157.94

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Solution

The fourth proportional to 8,996.29, 12,426.98 and 8,157.94 is: 11,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.29 : 12,426.98 = 8,157.94 : x
  2. Step 2: Convert to fraction form
    8,996.29/12,426.98 = 8,157.94/x
  3. Step 3: Cross multiply
    8,996.29x = 12,426.98 × 8,157.94
  4. Step 4: Simplify right side
    8,996.29x = 101,378,557.22
  5. Step 5: Solve for x
    x = 101,378,557.22/8,996.29
  6. Step 6: Final answer
    x = 11,268.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.