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Finding the Fourth Proportional to 9,200.58, 13,800.60 and 2,275.08

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Solution

The fourth proportional to 9,200.58, 13,800.60 and 2,275.08 is: 3,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.58 : 13,800.60 = 2,275.08 : x
  2. Step 2: Convert to fraction form
    9,200.58/13,800.60 = 2,275.08/x
  3. Step 3: Cross multiply
    9,200.58x = 13,800.60 × 2,275.08
  4. Step 4: Simplify right side
    9,200.58x = 31,397,469.05
  5. Step 5: Solve for x
    x = 31,397,469.05/9,200.58
  6. Step 6: Final answer
    x = 3,412.55

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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.