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Finding the Fourth Proportional to 12,310.41, 16,988.37 and 7,597.41

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Solution

The fourth proportional to 12,310.41, 16,988.37 and 7,597.41 is: 10,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.41 : 16,988.37 = 7,597.41 : x
  2. Step 2: Convert to fraction form
    12,310.41/16,988.37 = 7,597.41/x
  3. Step 3: Cross multiply
    12,310.41x = 16,988.37 × 7,597.41
  4. Step 4: Simplify right side
    12,310.41x = 129,067,612.12
  5. Step 5: Solve for x
    x = 129,067,612.12/12,310.41
  6. Step 6: Final answer
    x = 10,484.43

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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.