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Finding the Fourth Proportional to 9,165.82, 13,741.03 and 6,384.28

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Solution

The fourth proportional to 9,165.82, 13,741.03 and 6,384.28 is: 9,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.82 : 13,741.03 = 6,384.28 : x
  2. Step 2: Convert to fraction form
    9,165.82/13,741.03 = 6,384.28/x
  3. Step 3: Cross multiply
    9,165.82x = 13,741.03 × 6,384.28
  4. Step 4: Simplify right side
    9,165.82x = 87,726,583.01
  5. Step 5: Solve for x
    x = 87,726,583.01/9,165.82
  6. Step 6: Final answer
    x = 9,571.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.