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Finding the Fourth Proportional to 9,200.96, 13,802.08 and 2,626.88

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Solution

The fourth proportional to 9,200.96, 13,802.08 and 2,626.88 is: 3,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.96 : 13,802.08 = 2,626.88 : x
  2. Step 2: Convert to fraction form
    9,200.96/13,802.08 = 2,626.88/x
  3. Step 3: Cross multiply
    9,200.96x = 13,802.08 × 2,626.88
  4. Step 4: Simplify right side
    9,200.96x = 36,256,407.91
  5. Step 5: Solve for x
    x = 36,256,407.91/9,200.96
  6. Step 6: Final answer
    x = 3,940.50

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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.