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Finding the Fourth Proportional to 38,055.13, 57,082.94 and 9,974.94

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Solution

The fourth proportional to 38,055.13, 57,082.94 and 9,974.94 is: 14,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,055.13 : 57,082.94 = 9,974.94 : x
  2. Step 2: Convert to fraction form
    38,055.13/57,082.94 = 9,974.94/x
  3. Step 3: Cross multiply
    38,055.13x = 57,082.94 × 9,974.94
  4. Step 4: Simplify right side
    38,055.13x = 569,398,851.65
  5. Step 5: Solve for x
    x = 569,398,851.65/38,055.13
  6. Step 6: Final answer
    x = 14,962.47

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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.