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Finding the Fourth Proportional to 9,271.21, 12,793.74 and 5,494.73

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Solution

The fourth proportional to 9,271.21, 12,793.74 and 5,494.73 is: 7,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.21 : 12,793.74 = 5,494.73 : x
  2. Step 2: Convert to fraction form
    9,271.21/12,793.74 = 5,494.73/x
  3. Step 3: Cross multiply
    9,271.21x = 12,793.74 × 5,494.73
  4. Step 4: Simplify right side
    9,271.21x = 70,298,146.99
  5. Step 5: Solve for x
    x = 70,298,146.99/9,271.21
  6. Step 6: Final answer
    x = 7,582.41

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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.