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Finding the Fourth Proportional to 9,668.82, 13,345.02 and 5,893.20

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Solution

The fourth proportional to 9,668.82, 13,345.02 and 5,893.20 is: 8,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.82 : 13,345.02 = 5,893.20 : x
  2. Step 2: Convert to fraction form
    9,668.82/13,345.02 = 5,893.20/x
  3. Step 3: Cross multiply
    9,668.82x = 13,345.02 × 5,893.20
  4. Step 4: Simplify right side
    9,668.82x = 78,644,871.86
  5. Step 5: Solve for x
    x = 78,644,871.86/9,668.82
  6. Step 6: Final answer
    x = 8,133.86

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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.