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Finding the Fourth Proportional to 12,573.29, 17,343.44 and 7,465.34

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Solution

The fourth proportional to 12,573.29, 17,343.44 and 7,465.34 is: 10,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.29 : 17,343.44 = 7,465.34 : x
  2. Step 2: Convert to fraction form
    12,573.29/17,343.44 = 7,465.34/x
  3. Step 3: Cross multiply
    12,573.29x = 17,343.44 × 7,465.34
  4. Step 4: Simplify right side
    12,573.29x = 129,474,761.11
  5. Step 5: Solve for x
    x = 129,474,761.11/12,573.29
  6. Step 6: Final answer
    x = 10,297.61

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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.