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Finding the Fourth Proportional to 13,027.74, 17,978.56 and 7,722.66

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Solution

The fourth proportional to 13,027.74, 17,978.56 and 7,722.66 is: 10,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.74 : 17,978.56 = 7,722.66 : x
  2. Step 2: Convert to fraction form
    13,027.74/17,978.56 = 7,722.66/x
  3. Step 3: Cross multiply
    13,027.74x = 17,978.56 × 7,722.66
  4. Step 4: Simplify right side
    13,027.74x = 138,842,306.17
  5. Step 5: Solve for x
    x = 138,842,306.17/13,027.74
  6. Step 6: Final answer
    x = 10,657.44

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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.