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Finding the Fourth Proportional to 9,472.96, 13,028.07 and 8,291.98

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Solution

The fourth proportional to 9,472.96, 13,028.07 and 8,291.98 is: 11,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.96 : 13,028.07 = 8,291.98 : x
  2. Step 2: Convert to fraction form
    9,472.96/13,028.07 = 8,291.98/x
  3. Step 3: Cross multiply
    9,472.96x = 13,028.07 × 8,291.98
  4. Step 4: Simplify right side
    9,472.96x = 108,028,495.88
  5. Step 5: Solve for x
    x = 108,028,495.88/9,472.96
  6. Step 6: Final answer
    x = 11,403.88

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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.