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Finding the Fourth Proportional to 9,381.82, 12,932 and 7,389.22

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Solution

The fourth proportional to 9,381.82, 12,932 and 7,389.22 is: 10,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.82 : 12,932 = 7,389.22 : x
  2. Step 2: Convert to fraction form
    9,381.82/12,932 = 7,389.22/x
  3. Step 3: Cross multiply
    9,381.82x = 12,932 × 7,389.22
  4. Step 4: Simplify right side
    9,381.82x = 95,557,393.04
  5. Step 5: Solve for x
    x = 95,557,393.04/9,381.82
  6. Step 6: Final answer
    x = 10,185.38

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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.