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Finding the Fourth Proportional to 23,797.47, 35,694.16 and 9,753.48

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Solution

The fourth proportional to 23,797.47, 35,694.16 and 9,753.48 is: 14,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.47 : 35,694.16 = 9,753.48 : x
  2. Step 2: Convert to fraction form
    23,797.47/35,694.16 = 9,753.48/x
  3. Step 3: Cross multiply
    23,797.47x = 35,694.16 × 9,753.48
  4. Step 4: Simplify right side
    23,797.47x = 348,142,275.68
  5. Step 5: Solve for x
    x = 348,142,275.68/23,797.47
  6. Step 6: Final answer
    x = 14,629.38

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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.