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Finding the Fourth Proportional to 9,758.72, 13,467.07 and 5,282.47

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Solution

The fourth proportional to 9,758.72, 13,467.07 and 5,282.47 is: 7,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.72 : 13,467.07 = 5,282.47 : x
  2. Step 2: Convert to fraction form
    9,758.72/13,467.07 = 5,282.47/x
  3. Step 3: Cross multiply
    9,758.72x = 13,467.07 × 5,282.47
  4. Step 4: Simplify right side
    9,758.72x = 71,139,393.26
  5. Step 5: Solve for x
    x = 71,139,393.26/9,758.72
  6. Step 6: Final answer
    x = 7,289.83

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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.