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Finding the Fourth Proportional to 9,204.76, 13,797.90 and 4,812.88

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Solution

The fourth proportional to 9,204.76, 13,797.90 and 4,812.88 is: 7,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.76 : 13,797.90 = 4,812.88 : x
  2. Step 2: Convert to fraction form
    9,204.76/13,797.90 = 4,812.88/x
  3. Step 3: Cross multiply
    9,204.76x = 13,797.90 × 4,812.88
  4. Step 4: Simplify right side
    9,204.76x = 66,407,636.95
  5. Step 5: Solve for x
    x = 66,407,636.95/9,204.76
  6. Step 6: Final answer
    x = 7,214.49

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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.