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Finding the Fourth Proportional to 27,964, 41,948.40 and 9,244

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Solution

The fourth proportional to 27,964, 41,948.40 and 9,244 is: 13,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,964 : 41,948.40 = 9,244 : x
  2. Step 2: Convert to fraction form
    27,964/41,948.40 = 9,244/x
  3. Step 3: Cross multiply
    27,964x = 41,948.40 × 9,244
  4. Step 4: Simplify right side
    27,964x = 387,771,009.60
  5. Step 5: Solve for x
    x = 387,771,009.60/27,964
  6. Step 6: Final answer
    x = 13,866.79

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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.