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Finding the Fourth Proportional to 11,677.96, 16,113.78 and 6,709

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Solution

The fourth proportional to 11,677.96, 16,113.78 and 6,709 is: 9,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.96 : 16,113.78 = 6,709 : x
  2. Step 2: Convert to fraction form
    11,677.96/16,113.78 = 6,709/x
  3. Step 3: Cross multiply
    11,677.96x = 16,113.78 × 6,709
  4. Step 4: Simplify right side
    11,677.96x = 108,107,350.02
  5. Step 5: Solve for x
    x = 108,107,350.02/11,677.96
  6. Step 6: Final answer
    x = 9,257.38

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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.