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Finding the Fourth Proportional to 27,001, 37,261.38 and 15,823

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Solution

The fourth proportional to 27,001, 37,261.38 and 15,823 is: 21,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001 : 37,261.38 = 15,823 : x
  2. Step 2: Convert to fraction form
    27,001/37,261.38 = 15,823/x
  3. Step 3: Cross multiply
    27,001x = 37,261.38 × 15,823
  4. Step 4: Simplify right side
    27,001x = 589,586,815.74
  5. Step 5: Solve for x
    x = 589,586,815.74/27,001
  6. Step 6: Final answer
    x = 21,835.74

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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.