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Finding the Fourth Proportional to 9,924.08, 13,694.84 and 5,448.08

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Solution

The fourth proportional to 9,924.08, 13,694.84 and 5,448.08 is: 7,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.08 : 13,694.84 = 5,448.08 : x
  2. Step 2: Convert to fraction form
    9,924.08/13,694.84 = 5,448.08/x
  3. Step 3: Cross multiply
    9,924.08x = 13,694.84 × 5,448.08
  4. Step 4: Simplify right side
    9,924.08x = 74,610,583.91
  5. Step 5: Solve for x
    x = 74,610,583.91/9,924.08
  6. Step 6: Final answer
    x = 7,518.14

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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.