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Finding the Fourth Proportional to 9,924.12, 13,709.52 and 7,932.06

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Solution

The fourth proportional to 9,924.12, 13,709.52 and 7,932.06 is: 10,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.12 : 13,709.52 = 7,932.06 : x
  2. Step 2: Convert to fraction form
    9,924.12/13,709.52 = 7,932.06/x
  3. Step 3: Cross multiply
    9,924.12x = 13,709.52 × 7,932.06
  4. Step 4: Simplify right side
    9,924.12x = 108,744,735.21
  5. Step 5: Solve for x
    x = 108,744,735.21/9,924.12
  6. Step 6: Final answer
    x = 10,957.62

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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.