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Finding the Fourth Proportional to 35,989.36, 53,977.92 and 9,688.24

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Solution

The fourth proportional to 35,989.36, 53,977.92 and 9,688.24 is: 14,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,989.36 : 53,977.92 = 9,688.24 : x
  2. Step 2: Convert to fraction form
    35,989.36/53,977.92 = 9,688.24/x
  3. Step 3: Cross multiply
    35,989.36x = 53,977.92 × 9,688.24
  4. Step 4: Simplify right side
    35,989.36x = 522,951,043.66
  5. Step 5: Solve for x
    x = 522,951,043.66/35,989.36
  6. Step 6: Final answer
    x = 14,530.71

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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.