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Finding the Fourth Proportional to 11,924.98, 17,891.25 and 9,301.47

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Solution

The fourth proportional to 11,924.98, 17,891.25 and 9,301.47 is: 13,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.98 : 17,891.25 = 9,301.47 : x
  2. Step 2: Convert to fraction form
    11,924.98/17,891.25 = 9,301.47/x
  3. Step 3: Cross multiply
    11,924.98x = 17,891.25 × 9,301.47
  4. Step 4: Simplify right side
    11,924.98x = 166,414,925.14
  5. Step 5: Solve for x
    x = 166,414,925.14/11,924.98
  6. Step 6: Final answer
    x = 13,955.15

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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.