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Finding the Fourth Proportional to 13,030.88, 17,974.64 and 7,722.14

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Solution

The fourth proportional to 13,030.88, 17,974.64 and 7,722.14 is: 10,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.88 : 17,974.64 = 7,722.14 : x
  2. Step 2: Convert to fraction form
    13,030.88/17,974.64 = 7,722.14/x
  3. Step 3: Cross multiply
    13,030.88x = 17,974.64 × 7,722.14
  4. Step 4: Simplify right side
    13,030.88x = 138,802,615.96
  5. Step 5: Solve for x
    x = 138,802,615.96/13,030.88
  6. Step 6: Final answer
    x = 10,651.83

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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.