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Finding the Fourth Proportional to 11,923.16, 16,459.88 and 7,449.39

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Solution

The fourth proportional to 11,923.16, 16,459.88 and 7,449.39 is: 10,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.16 : 16,459.88 = 7,449.39 : x
  2. Step 2: Convert to fraction form
    11,923.16/16,459.88 = 7,449.39/x
  3. Step 3: Cross multiply
    11,923.16x = 16,459.88 × 7,449.39
  4. Step 4: Simplify right side
    11,923.16x = 122,616,028.23
  5. Step 5: Solve for x
    x = 122,616,028.23/11,923.16
  6. Step 6: Final answer
    x = 10,283.86

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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.