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Finding the Fourth Proportional to 9,245.60, 12,758.74 and 5,266.61

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Solution

The fourth proportional to 9,245.60, 12,758.74 and 5,266.61 is: 7,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.60 : 12,758.74 = 5,266.61 : x
  2. Step 2: Convert to fraction form
    9,245.60/12,758.74 = 5,266.61/x
  3. Step 3: Cross multiply
    9,245.60x = 12,758.74 × 5,266.61
  4. Step 4: Simplify right side
    9,245.60x = 67,195,230.71
  5. Step 5: Solve for x
    x = 67,195,230.71/9,245.60
  6. Step 6: Final answer
    x = 7,267.81

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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.