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Finding the Fourth Proportional to 11,702.25, 17,527.11 and 9,051.12

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Solution

The fourth proportional to 11,702.25, 17,527.11 and 9,051.12 is: 13,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.25 : 17,527.11 = 9,051.12 : x
  2. Step 2: Convert to fraction form
    11,702.25/17,527.11 = 9,051.12/x
  3. Step 3: Cross multiply
    11,702.25x = 17,527.11 × 9,051.12
  4. Step 4: Simplify right side
    11,702.25x = 158,639,975.86
  5. Step 5: Solve for x
    x = 158,639,975.86/11,702.25
  6. Step 6: Final answer
    x = 13,556.37

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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.