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Finding the Fourth Proportional to 23,797.60, 35,698.16 and 7,156.28

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Solution

The fourth proportional to 23,797.60, 35,698.16 and 7,156.28 is: 10,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.60 : 35,698.16 = 7,156.28 : x
  2. Step 2: Convert to fraction form
    23,797.60/35,698.16 = 7,156.28/x
  3. Step 3: Cross multiply
    23,797.60x = 35,698.16 × 7,156.28
  4. Step 4: Simplify right side
    23,797.60x = 255,466,028.44
  5. Step 5: Solve for x
    x = 255,466,028.44/23,797.60
  6. Step 6: Final answer
    x = 10,734.95

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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.