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Finding the Fourth Proportional to 9,224.55, 13,825.89 and 7,026.48

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Solution

The fourth proportional to 9,224.55, 13,825.89 and 7,026.48 is: 10,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.55 : 13,825.89 = 7,026.48 : x
  2. Step 2: Convert to fraction form
    9,224.55/13,825.89 = 7,026.48/x
  3. Step 3: Cross multiply
    9,224.55x = 13,825.89 × 7,026.48
  4. Step 4: Simplify right side
    9,224.55x = 97,147,339.57
  5. Step 5: Solve for x
    x = 97,147,339.57/9,224.55
  6. Step 6: Final answer
    x = 10,531.39

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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.