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Finding the Fourth Proportional to 27,129.96, 40,713.84 and 9,600.48

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Solution

The fourth proportional to 27,129.96, 40,713.84 and 9,600.48 is: 14,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.96 : 40,713.84 = 9,600.48 : x
  2. Step 2: Convert to fraction form
    27,129.96/40,713.84 = 9,600.48/x
  3. Step 3: Cross multiply
    27,129.96x = 40,713.84 × 9,600.48
  4. Step 4: Simplify right side
    27,129.96x = 390,872,406.64
  5. Step 5: Solve for x
    x = 390,872,406.64/27,129.96
  6. Step 6: Final answer
    x = 14,407.41

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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.