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Finding the Fourth Proportional to 38,054.79, 57,080.47 and 9,974.22

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Solution

The fourth proportional to 38,054.79, 57,080.47 and 9,974.22 is: 14,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054.79 : 57,080.47 = 9,974.22 : x
  2. Step 2: Convert to fraction form
    38,054.79/57,080.47 = 9,974.22/x
  3. Step 3: Cross multiply
    38,054.79x = 57,080.47 × 9,974.22
  4. Step 4: Simplify right side
    38,054.79x = 569,333,165.48
  5. Step 5: Solve for x
    x = 569,333,165.48/38,054.79
  6. Step 6: Final answer
    x = 14,960.88

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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.