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Finding the Fourth Proportional to 27,412.46, 37,827.36 and 15,473.46

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Solution

The fourth proportional to 27,412.46, 37,827.36 and 15,473.46 is: 21,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.46 : 37,827.36 = 15,473.46 : x
  2. Step 2: Convert to fraction form
    27,412.46/37,827.36 = 15,473.46/x
  3. Step 3: Cross multiply
    27,412.46x = 37,827.36 × 15,473.46
  4. Step 4: Simplify right side
    27,412.46x = 585,320,141.87
  5. Step 5: Solve for x
    x = 585,320,141.87/27,412.46
  6. Step 6: Final answer
    x = 21,352.34

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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.