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Finding the Fourth Proportional to 9,952.29, 13,728.42 and 5,971.05

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Solution

The fourth proportional to 9,952.29, 13,728.42 and 5,971.05 is: 8,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.29 : 13,728.42 = 5,971.05 : x
  2. Step 2: Convert to fraction form
    9,952.29/13,728.42 = 5,971.05/x
  3. Step 3: Cross multiply
    9,952.29x = 13,728.42 × 5,971.05
  4. Step 4: Simplify right side
    9,952.29x = 81,973,082.24
  5. Step 5: Solve for x
    x = 81,973,082.24/9,952.29
  6. Step 6: Final answer
    x = 8,236.61

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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.