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Finding the Fourth Proportional to 14,202.76, 21,314.91 and 7,968.02

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Solution

The fourth proportional to 14,202.76, 21,314.91 and 7,968.02 is: 11,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.76 : 21,314.91 = 7,968.02 : x
  2. Step 2: Convert to fraction form
    14,202.76/21,314.91 = 7,968.02/x
  3. Step 3: Cross multiply
    14,202.76x = 21,314.91 × 7,968.02
  4. Step 4: Simplify right side
    14,202.76x = 169,837,672.38
  5. Step 5: Solve for x
    x = 169,837,672.38/14,202.76
  6. Step 6: Final answer
    x = 11,958.08

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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.