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Finding the Fourth Proportional to 9,973.26, 13,750.29 and 8,174.21

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Solution

The fourth proportional to 9,973.26, 13,750.29 and 8,174.21 is: 11,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.26 : 13,750.29 = 8,174.21 : x
  2. Step 2: Convert to fraction form
    9,973.26/13,750.29 = 8,174.21/x
  3. Step 3: Cross multiply
    9,973.26x = 13,750.29 × 8,174.21
  4. Step 4: Simplify right side
    9,973.26x = 112,397,689.27
  5. Step 5: Solve for x
    x = 112,397,689.27/9,973.26
  6. Step 6: Final answer
    x = 11,269.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.