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Finding the Fourth Proportional to 9,291.51, 13,937.73 and 3,049

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Solution

The fourth proportional to 9,291.51, 13,937.73 and 3,049 is: 4,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.51 : 13,937.73 = 3,049 : x
  2. Step 2: Convert to fraction form
    9,291.51/13,937.73 = 3,049/x
  3. Step 3: Cross multiply
    9,291.51x = 13,937.73 × 3,049
  4. Step 4: Simplify right side
    9,291.51x = 42,496,138.77
  5. Step 5: Solve for x
    x = 42,496,138.77/9,291.51
  6. Step 6: Final answer
    x = 4,573.65

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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.