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Finding the Fourth Proportional to 11,074, 16,615.16 and 4,501.84

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Solution

The fourth proportional to 11,074, 16,615.16 and 4,501.84 is: 6,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074 : 16,615.16 = 4,501.84 : x
  2. Step 2: Convert to fraction form
    11,074/16,615.16 = 4,501.84/x
  3. Step 3: Cross multiply
    11,074x = 16,615.16 × 4,501.84
  4. Step 4: Simplify right side
    11,074x = 74,798,791.89
  5. Step 5: Solve for x
    x = 74,798,791.89/11,074
  6. Step 6: Final answer
    x = 6,754.45

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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.