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Finding the Fourth Proportional to 13,762.48, 18,992.52 and 8,454.24

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Solution

The fourth proportional to 13,762.48, 18,992.52 and 8,454.24 is: 11,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.48 : 18,992.52 = 8,454.24 : x
  2. Step 2: Convert to fraction form
    13,762.48/18,992.52 = 8,454.24/x
  3. Step 3: Cross multiply
    13,762.48x = 18,992.52 × 8,454.24
  4. Step 4: Simplify right side
    13,762.48x = 160,567,322.28
  5. Step 5: Solve for x
    x = 160,567,322.28/13,762.48
  6. Step 6: Final answer
    x = 11,667.03

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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.