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Finding the Fourth Proportional to 11,458.20, 17,200.10 and 10,706.20

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Solution

The fourth proportional to 11,458.20, 17,200.10 and 10,706.20 is: 16,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.20 : 17,200.10 = 10,706.20 : x
  2. Step 2: Convert to fraction form
    11,458.20/17,200.10 = 10,706.20/x
  3. Step 3: Cross multiply
    11,458.20x = 17,200.10 × 10,706.20
  4. Step 4: Simplify right side
    11,458.20x = 184,147,710.62
  5. Step 5: Solve for x
    x = 184,147,710.62/11,458.20
  6. Step 6: Final answer
    x = 16,071.26

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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.