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Finding the Fourth Proportional to 9,673.76, 13,347.96 and 9,181.64

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Solution

The fourth proportional to 9,673.76, 13,347.96 and 9,181.64 is: 12,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.76 : 13,347.96 = 9,181.64 : x
  2. Step 2: Convert to fraction form
    9,673.76/13,347.96 = 9,181.64/x
  3. Step 3: Cross multiply
    9,673.76x = 13,347.96 × 9,181.64
  4. Step 4: Simplify right side
    9,673.76x = 122,556,163.45
  5. Step 5: Solve for x
    x = 122,556,163.45/9,673.76
  6. Step 6: Final answer
    x = 12,668.93

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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.