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Finding the Fourth Proportional to 11,887.70, 16,405.20 and 6,583.01

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Solution

The fourth proportional to 11,887.70, 16,405.20 and 6,583.01 is: 9,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.70 : 16,405.20 = 6,583.01 : x
  2. Step 2: Convert to fraction form
    11,887.70/16,405.20 = 6,583.01/x
  3. Step 3: Cross multiply
    11,887.70x = 16,405.20 × 6,583.01
  4. Step 4: Simplify right side
    11,887.70x = 107,995,513.63
  5. Step 5: Solve for x
    x = 107,995,513.63/11,887.70
  6. Step 6: Final answer
    x = 9,084.65

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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.