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Finding the Fourth Proportional to 9,707.01, 13,387.44 and 8,201.96

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Solution

The fourth proportional to 9,707.01, 13,387.44 and 8,201.96 is: 11,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.01 : 13,387.44 = 8,201.96 : x
  2. Step 2: Convert to fraction form
    9,707.01/13,387.44 = 8,201.96/x
  3. Step 3: Cross multiply
    9,707.01x = 13,387.44 × 8,201.96
  4. Step 4: Simplify right side
    9,707.01x = 109,803,149.69
  5. Step 5: Solve for x
    x = 109,803,149.69/9,707.01
  6. Step 6: Final answer
    x = 11,311.74

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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.