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Finding the Fourth Proportional to 7,054, 10,581.48 and 2,950

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Solution

The fourth proportional to 7,054, 10,581.48 and 2,950 is: 4,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054 : 10,581.48 = 2,950 : x
  2. Step 2: Convert to fraction form
    7,054/10,581.48 = 2,950/x
  3. Step 3: Cross multiply
    7,054x = 10,581.48 × 2,950
  4. Step 4: Simplify right side
    7,054x = 31,215,366
  5. Step 5: Solve for x
    x = 31,215,366/7,054
  6. Step 6: Final answer
    x = 4,425.20

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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.