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Finding the Fourth Proportional to 14,766.16, 20,365.74 and 9,461.44

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Solution

The fourth proportional to 14,766.16, 20,365.74 and 9,461.44 is: 13,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.16 : 20,365.74 = 9,461.44 : x
  2. Step 2: Convert to fraction form
    14,766.16/20,365.74 = 9,461.44/x
  3. Step 3: Cross multiply
    14,766.16x = 20,365.74 × 9,461.44
  4. Step 4: Simplify right side
    14,766.16x = 192,689,227.07
  5. Step 5: Solve for x
    x = 192,689,227.07/14,766.16
  6. Step 6: Final answer
    x = 13,049.38

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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.