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Finding the Fourth Proportional to 11,871.69, 16,384.62 and 6,835.40

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Solution

The fourth proportional to 11,871.69, 16,384.62 and 6,835.40 is: 9,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.69 : 16,384.62 = 6,835.40 : x
  2. Step 2: Convert to fraction form
    11,871.69/16,384.62 = 6,835.40/x
  3. Step 3: Cross multiply
    11,871.69x = 16,384.62 × 6,835.40
  4. Step 4: Simplify right side
    11,871.69x = 111,995,431.55
  5. Step 5: Solve for x
    x = 111,995,431.55/11,871.69
  6. Step 6: Final answer
    x = 9,433.82

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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.