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Finding the Fourth Proportional to 9,745.82, 14,519.03 and 9,275.61

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Solution

The fourth proportional to 9,745.82, 14,519.03 and 9,275.61 is: 13,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.82 : 14,519.03 = 9,275.61 : x
  2. Step 2: Convert to fraction form
    9,745.82/14,519.03 = 9,275.61/x
  3. Step 3: Cross multiply
    9,745.82x = 14,519.03 × 9,275.61
  4. Step 4: Simplify right side
    9,745.82x = 134,672,813.48
  5. Step 5: Solve for x
    x = 134,672,813.48/9,745.82
  6. Step 6: Final answer
    x = 13,818.53

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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.