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Finding the Fourth Proportional to 11,871.01, 16,381.87 and 6,835.17

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Solution

The fourth proportional to 11,871.01, 16,381.87 and 6,835.17 is: 9,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.01 : 16,381.87 = 6,835.17 : x
  2. Step 2: Convert to fraction form
    11,871.01/16,381.87 = 6,835.17/x
  3. Step 3: Cross multiply
    11,871.01x = 16,381.87 × 6,835.17
  4. Step 4: Simplify right side
    11,871.01x = 111,972,866.37
  5. Step 5: Solve for x
    x = 111,972,866.37/11,871.01
  6. Step 6: Final answer
    x = 9,432.46

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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.