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Finding the Fourth Proportional to 11,342.70, 17,014.14 and 6,412.68

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Solution

The fourth proportional to 11,342.70, 17,014.14 and 6,412.68 is: 9,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.70 : 17,014.14 = 6,412.68 : x
  2. Step 2: Convert to fraction form
    11,342.70/17,014.14 = 6,412.68/x
  3. Step 3: Cross multiply
    11,342.70x = 17,014.14 × 6,412.68
  4. Step 4: Simplify right side
    11,342.70x = 109,106,235.30
  5. Step 5: Solve for x
    x = 109,106,235.30/11,342.70
  6. Step 6: Final answer
    x = 9,619.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.