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Finding the Fourth Proportional to 8,125.51, 11,202.39 and 7,295.13

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Solution

The fourth proportional to 8,125.51, 11,202.39 and 7,295.13 is: 10,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.51 : 11,202.39 = 7,295.13 : x
  2. Step 2: Convert to fraction form
    8,125.51/11,202.39 = 7,295.13/x
  3. Step 3: Cross multiply
    8,125.51x = 11,202.39 × 7,295.13
  4. Step 4: Simplify right side
    8,125.51x = 81,722,835.35
  5. Step 5: Solve for x
    x = 81,722,835.35/8,125.51
  6. Step 6: Final answer
    x = 10,057.57

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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.