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Finding the Fourth Proportional to 9,200.77, 13,801.19 and 2,275.27

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Solution

The fourth proportional to 9,200.77, 13,801.19 and 2,275.27 is: 3,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.77 : 13,801.19 = 2,275.27 : x
  2. Step 2: Convert to fraction form
    9,200.77/13,801.19 = 2,275.27/x
  3. Step 3: Cross multiply
    9,200.77x = 13,801.19 × 2,275.27
  4. Step 4: Simplify right side
    9,200.77x = 31,401,387.69
  5. Step 5: Solve for x
    x = 31,401,387.69/9,200.77
  6. Step 6: Final answer
    x = 3,412.91

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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.