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Finding the Fourth Proportional to 9,533.94, 14,304.96 and 3,694.68

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Solution

The fourth proportional to 9,533.94, 14,304.96 and 3,694.68 is: 5,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.94 : 14,304.96 = 3,694.68 : x
  2. Step 2: Convert to fraction form
    9,533.94/14,304.96 = 3,694.68/x
  3. Step 3: Cross multiply
    9,533.94x = 14,304.96 × 3,694.68
  4. Step 4: Simplify right side
    9,533.94x = 52,852,249.61
  5. Step 5: Solve for x
    x = 52,852,249.61/9,533.94
  6. Step 6: Final answer
    x = 5,543.59

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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.