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Finding the Fourth Proportional to 4,797.71, 7,197.06 and 1,334.96

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Solution

The fourth proportional to 4,797.71, 7,197.06 and 1,334.96 is: 2,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.71 : 7,197.06 = 1,334.96 : x
  2. Step 2: Convert to fraction form
    4,797.71/7,197.06 = 1,334.96/x
  3. Step 3: Cross multiply
    4,797.71x = 7,197.06 × 1,334.96
  4. Step 4: Simplify right side
    4,797.71x = 9,607,787.22
  5. Step 5: Solve for x
    x = 9,607,787.22/4,797.71
  6. Step 6: Final answer
    x = 2,002.58

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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.