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Finding the Fourth Proportional to 9,271.54, 13,824.60 and 8,241.22

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Solution

The fourth proportional to 9,271.54, 13,824.60 and 8,241.22 is: 12,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.54 : 13,824.60 = 8,241.22 : x
  2. Step 2: Convert to fraction form
    9,271.54/13,824.60 = 8,241.22/x
  3. Step 3: Cross multiply
    9,271.54x = 13,824.60 × 8,241.22
  4. Step 4: Simplify right side
    9,271.54x = 113,931,500.89
  5. Step 5: Solve for x
    x = 113,931,500.89/9,271.54
  6. Step 6: Final answer
    x = 12,288.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.