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Finding the Fourth Proportional to 9,296.82, 12,829.64 and 5,467.48

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Solution

The fourth proportional to 9,296.82, 12,829.64 and 5,467.48 is: 7,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.82 : 12,829.64 = 5,467.48 : x
  2. Step 2: Convert to fraction form
    9,296.82/12,829.64 = 5,467.48/x
  3. Step 3: Cross multiply
    9,296.82x = 12,829.64 × 5,467.48
  4. Step 4: Simplify right side
    9,296.82x = 70,145,773.13
  5. Step 5: Solve for x
    x = 70,145,773.13/9,296.82
  6. Step 6: Final answer
    x = 7,545.13

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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.