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Finding the Fourth Proportional to 11,762.56, 17,643.84 and 4,837.12

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Solution

The fourth proportional to 11,762.56, 17,643.84 and 4,837.12 is: 7,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.56 : 17,643.84 = 4,837.12 : x
  2. Step 2: Convert to fraction form
    11,762.56/17,643.84 = 4,837.12/x
  3. Step 3: Cross multiply
    11,762.56x = 17,643.84 × 4,837.12
  4. Step 4: Simplify right side
    11,762.56x = 85,345,371.34
  5. Step 5: Solve for x
    x = 85,345,371.34/11,762.56
  6. Step 6: Final answer
    x = 7,255.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.