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Finding the Fourth Proportional to 6,034.56, 9,048.84 and 2,523.50

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Solution

The fourth proportional to 6,034.56, 9,048.84 and 2,523.50 is: 3,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.56 : 9,048.84 = 2,523.50 : x
  2. Step 2: Convert to fraction form
    6,034.56/9,048.84 = 2,523.50/x
  3. Step 3: Cross multiply
    6,034.56x = 9,048.84 × 2,523.50
  4. Step 4: Simplify right side
    6,034.56x = 22,834,747.74
  5. Step 5: Solve for x
    x = 22,834,747.74/6,034.56
  6. Step 6: Final answer
    x = 3,784.00

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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.