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Finding the Fourth Proportional to 11,655.40, 16,084.41 and 6,350.08

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Solution

The fourth proportional to 11,655.40, 16,084.41 and 6,350.08 is: 8,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.40 : 16,084.41 = 6,350.08 : x
  2. Step 2: Convert to fraction form
    11,655.40/16,084.41 = 6,350.08/x
  3. Step 3: Cross multiply
    11,655.40x = 16,084.41 × 6,350.08
  4. Step 4: Simplify right side
    11,655.40x = 102,137,290.25
  5. Step 5: Solve for x
    x = 102,137,290.25/11,655.40
  6. Step 6: Final answer
    x = 8,763.09

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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.