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Finding the Fourth Proportional to 11,533.98, 17,300.97 and 3,742.62

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Solution

The fourth proportional to 11,533.98, 17,300.97 and 3,742.62 is: 5,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.98 : 17,300.97 = 3,742.62 : x
  2. Step 2: Convert to fraction form
    11,533.98/17,300.97 = 3,742.62/x
  3. Step 3: Cross multiply
    11,533.98x = 17,300.97 × 3,742.62
  4. Step 4: Simplify right side
    11,533.98x = 64,750,956.34
  5. Step 5: Solve for x
    x = 64,750,956.34/11,533.98
  6. Step 6: Final answer
    x = 5,613.93

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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.