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Finding the Fourth Proportional to 10,707.44, 14,782.24 and 7,352.24

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Solution

The fourth proportional to 10,707.44, 14,782.24 and 7,352.24 is: 10,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.44 : 14,782.24 = 7,352.24 : x
  2. Step 2: Convert to fraction form
    10,707.44/14,782.24 = 7,352.24/x
  3. Step 3: Cross multiply
    10,707.44x = 14,782.24 × 7,352.24
  4. Step 4: Simplify right side
    10,707.44x = 108,682,576.22
  5. Step 5: Solve for x
    x = 108,682,576.22/10,707.44
  6. Step 6: Final answer
    x = 10,150.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.