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Finding the Fourth Proportional to 11,937.68, 16,473.36 and 6,902

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Solution

The fourth proportional to 11,937.68, 16,473.36 and 6,902 is: 9,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.68 : 16,473.36 = 6,902 : x
  2. Step 2: Convert to fraction form
    11,937.68/16,473.36 = 6,902/x
  3. Step 3: Cross multiply
    11,937.68x = 16,473.36 × 6,902
  4. Step 4: Simplify right side
    11,937.68x = 113,699,130.72
  5. Step 5: Solve for x
    x = 113,699,130.72/11,937.68
  6. Step 6: Final answer
    x = 9,524.39

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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.