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Finding the Fourth Proportional to 11,558.68, 15,936.50 and 9,647.24

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Solution

The fourth proportional to 11,558.68, 15,936.50 and 9,647.24 is: 13,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.68 : 15,936.50 = 9,647.24 : x
  2. Step 2: Convert to fraction form
    11,558.68/15,936.50 = 9,647.24/x
  3. Step 3: Cross multiply
    11,558.68x = 15,936.50 × 9,647.24
  4. Step 4: Simplify right side
    11,558.68x = 153,743,240.26
  5. Step 5: Solve for x
    x = 153,743,240.26/11,558.68
  6. Step 6: Final answer
    x = 13,301.11

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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.