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Finding the Fourth Proportional to 10,540.67, 14,549.16 and 6,958.25

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Solution

The fourth proportional to 10,540.67, 14,549.16 and 6,958.25 is: 9,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.67 : 14,549.16 = 6,958.25 : x
  2. Step 2: Convert to fraction form
    10,540.67/14,549.16 = 6,958.25/x
  3. Step 3: Cross multiply
    10,540.67x = 14,549.16 × 6,958.25
  4. Step 4: Simplify right side
    10,540.67x = 101,236,619.82
  5. Step 5: Solve for x
    x = 101,236,619.82/10,540.67
  6. Step 6: Final answer
    x = 9,604.39

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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.