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Finding the Fourth Proportional to 28,514.52, 42,771.24 and 7,738.20

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Solution

The fourth proportional to 28,514.52, 42,771.24 and 7,738.20 is: 11,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514.52 : 42,771.24 = 7,738.20 : x
  2. Step 2: Convert to fraction form
    28,514.52/42,771.24 = 7,738.20/x
  3. Step 3: Cross multiply
    28,514.52x = 42,771.24 × 7,738.20
  4. Step 4: Simplify right side
    28,514.52x = 330,972,409.37
  5. Step 5: Solve for x
    x = 330,972,409.37/28,514.52
  6. Step 6: Final answer
    x = 11,607.15

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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.