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Finding the Fourth Proportional to 11,801.52, 16,285.92 and 7,024.80

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Solution

The fourth proportional to 11,801.52, 16,285.92 and 7,024.80 is: 9,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.52 : 16,285.92 = 7,024.80 : x
  2. Step 2: Convert to fraction form
    11,801.52/16,285.92 = 7,024.80/x
  3. Step 3: Cross multiply
    11,801.52x = 16,285.92 × 7,024.80
  4. Step 4: Simplify right side
    11,801.52x = 114,405,330.82
  5. Step 5: Solve for x
    x = 114,405,330.82/11,801.52
  6. Step 6: Final answer
    x = 9,694.12

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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.