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Finding the Fourth Proportional to 9,777.89, 14,668.96 and 3,203.83

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Solution

The fourth proportional to 9,777.89, 14,668.96 and 3,203.83 is: 4,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.89 : 14,668.96 = 3,203.83 : x
  2. Step 2: Convert to fraction form
    9,777.89/14,668.96 = 3,203.83/x
  3. Step 3: Cross multiply
    9,777.89x = 14,668.96 × 3,203.83
  4. Step 4: Simplify right side
    9,777.89x = 46,996,854.12
  5. Step 5: Solve for x
    x = 46,996,854.12/9,777.89
  6. Step 6: Final answer
    x = 4,806.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.