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Finding the Fourth Proportional to 27,277.52, 40,914.97 and 9,507.46

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Solution

The fourth proportional to 27,277.52, 40,914.97 and 9,507.46 is: 14,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,277.52 : 40,914.97 = 9,507.46 : x
  2. Step 2: Convert to fraction form
    27,277.52/40,914.97 = 9,507.46/x
  3. Step 3: Cross multiply
    27,277.52x = 40,914.97 × 9,507.46
  4. Step 4: Simplify right side
    27,277.52x = 388,997,526.94
  5. Step 5: Solve for x
    x = 388,997,526.94/27,277.52
  6. Step 6: Final answer
    x = 14,260.74

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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.