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Finding the Fourth Proportional to 9,048.78, 13,571.74 and 5,537.58

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Solution

The fourth proportional to 9,048.78, 13,571.74 and 5,537.58 is: 8,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.78 : 13,571.74 = 5,537.58 : x
  2. Step 2: Convert to fraction form
    9,048.78/13,571.74 = 5,537.58/x
  3. Step 3: Cross multiply
    9,048.78x = 13,571.74 × 5,537.58
  4. Step 4: Simplify right side
    9,048.78x = 75,154,595.99
  5. Step 5: Solve for x
    x = 75,154,595.99/9,048.78
  6. Step 6: Final answer
    x = 8,305.49

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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.