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Finding the Fourth Proportional to 9,165.31, 13,752.74 and 5,004.54

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Solution

The fourth proportional to 9,165.31, 13,752.74 and 5,004.54 is: 7,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.31 : 13,752.74 = 5,004.54 : x
  2. Step 2: Convert to fraction form
    9,165.31/13,752.74 = 5,004.54/x
  3. Step 3: Cross multiply
    9,165.31x = 13,752.74 × 5,004.54
  4. Step 4: Simplify right side
    9,165.31x = 68,826,137.44
  5. Step 5: Solve for x
    x = 68,826,137.44/9,165.31
  6. Step 6: Final answer
    x = 7,509.42

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1.5x scale

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.