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Finding the Fourth Proportional to 11,742.93, 16,203.24 and 7,761.99

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Solution

The fourth proportional to 11,742.93, 16,203.24 and 7,761.99 is: 10,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.93 : 16,203.24 = 7,761.99 : x
  2. Step 2: Convert to fraction form
    11,742.93/16,203.24 = 7,761.99/x
  3. Step 3: Cross multiply
    11,742.93x = 16,203.24 × 7,761.99
  4. Step 4: Simplify right side
    11,742.93x = 125,769,386.85
  5. Step 5: Solve for x
    x = 125,769,386.85/11,742.93
  6. Step 6: Final answer
    x = 10,710.22

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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.