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Finding the Fourth Proportional to 9,049.50, 13,574.03 and 2,475.68

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Solution

The fourth proportional to 9,049.50, 13,574.03 and 2,475.68 is: 3,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.50 : 13,574.03 = 2,475.68 : x
  2. Step 2: Convert to fraction form
    9,049.50/13,574.03 = 2,475.68/x
  3. Step 3: Cross multiply
    9,049.50x = 13,574.03 × 2,475.68
  4. Step 4: Simplify right side
    9,049.50x = 33,604,874.34
  5. Step 5: Solve for x
    x = 33,604,874.34/9,049.50
  6. Step 6: Final answer
    x = 3,713.45

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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.