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Finding the Fourth Proportional to 14,857, 20,504.10 and 9,266.92

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Solution

The fourth proportional to 14,857, 20,504.10 and 9,266.92 is: 12,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857 : 20,504.10 = 9,266.92 : x
  2. Step 2: Convert to fraction form
    14,857/20,504.10 = 9,266.92/x
  3. Step 3: Cross multiply
    14,857x = 20,504.10 × 9,266.92
  4. Step 4: Simplify right side
    14,857x = 190,009,854.37
  5. Step 5: Solve for x
    x = 190,009,854.37/14,857
  6. Step 6: Final answer
    x = 12,789.25

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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.