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Finding the Fourth Proportional to 9,924.98, 13,696.64 and 5,448.92

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Solution

The fourth proportional to 9,924.98, 13,696.64 and 5,448.92 is: 7,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.98 : 13,696.64 = 5,448.92 : x
  2. Step 2: Convert to fraction form
    9,924.98/13,696.64 = 5,448.92/x
  3. Step 3: Cross multiply
    9,924.98x = 13,696.64 × 5,448.92
  4. Step 4: Simplify right side
    9,924.98x = 74,631,928.03
  5. Step 5: Solve for x
    x = 74,631,928.03/9,924.98
  6. Step 6: Final answer
    x = 7,519.60

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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.