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Finding the Fourth Proportional to 11,567.96, 17,424 and 10,756.88

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Solution

The fourth proportional to 11,567.96, 17,424 and 10,756.88 is: 16,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.96 : 17,424 = 10,756.88 : x
  2. Step 2: Convert to fraction form
    11,567.96/17,424 = 10,756.88/x
  3. Step 3: Cross multiply
    11,567.96x = 17,424 × 10,756.88
  4. Step 4: Simplify right side
    11,567.96x = 187,427,877.12
  5. Step 5: Solve for x
    x = 187,427,877.12/11,567.96
  6. Step 6: Final answer
    x = 16,202.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.