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Finding the Fourth Proportional to 12,739.76, 17,581 and 7,150.76

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Solution

The fourth proportional to 12,739.76, 17,581 and 7,150.76 is: 9,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.76 : 17,581 = 7,150.76 : x
  2. Step 2: Convert to fraction form
    12,739.76/17,581 = 7,150.76/x
  3. Step 3: Cross multiply
    12,739.76x = 17,581 × 7,150.76
  4. Step 4: Simplify right side
    12,739.76x = 125,717,511.56
  5. Step 5: Solve for x
    x = 125,717,511.56/12,739.76
  6. Step 6: Final answer
    x = 9,868.12

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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.