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Finding the Fourth Proportional to 27,183, 37,509.30 and 15,854.88

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Solution

The fourth proportional to 27,183, 37,509.30 and 15,854.88 is: 21,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,183 : 37,509.30 = 15,854.88 : x
  2. Step 2: Convert to fraction form
    27,183/37,509.30 = 15,854.88/x
  3. Step 3: Cross multiply
    27,183x = 37,509.30 × 15,854.88
  4. Step 4: Simplify right side
    27,183x = 594,705,450.38
  5. Step 5: Solve for x
    x = 594,705,450.38/27,183
  6. Step 6: Final answer
    x = 21,877.84

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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.