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Finding the Fourth Proportional to 9,857.56, 13,610.26 and 9,230.20

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Solution

The fourth proportional to 9,857.56, 13,610.26 and 9,230.20 is: 12,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.56 : 13,610.26 = 9,230.20 : x
  2. Step 2: Convert to fraction form
    9,857.56/13,610.26 = 9,230.20/x
  3. Step 3: Cross multiply
    9,857.56x = 13,610.26 × 9,230.20
  4. Step 4: Simplify right side
    9,857.56x = 125,625,421.85
  5. Step 5: Solve for x
    x = 125,625,421.85/9,857.56
  6. Step 6: Final answer
    x = 12,744.07

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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.