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Finding the Fourth Proportional to 27,957.32, 41,940.30 and 9,485

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Solution

The fourth proportional to 27,957.32, 41,940.30 and 9,485 is: 14,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.32 : 41,940.30 = 9,485 : x
  2. Step 2: Convert to fraction form
    27,957.32/41,940.30 = 9,485/x
  3. Step 3: Cross multiply
    27,957.32x = 41,940.30 × 9,485
  4. Step 4: Simplify right side
    27,957.32x = 397,803,745.50
  5. Step 5: Solve for x
    x = 397,803,745.50/27,957.32
  6. Step 6: Final answer
    x = 14,228.97

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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.