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Finding the Fourth Proportional to 38,051.67, 57,076.17 and 9,971.51

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Solution

The fourth proportional to 38,051.67, 57,076.17 and 9,971.51 is: 14,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.67 : 57,076.17 = 9,971.51 : x
  2. Step 2: Convert to fraction form
    38,051.67/57,076.17 = 9,971.51/x
  3. Step 3: Cross multiply
    38,051.67x = 57,076.17 × 9,971.51
  4. Step 4: Simplify right side
    38,051.67x = 569,135,305.19
  5. Step 5: Solve for x
    x = 569,135,305.19/38,051.67
  6. Step 6: Final answer
    x = 14,956.91

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1.5x scale

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.