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Finding the Fourth Proportional to 14,201.73, 21,300.14 and 5,314.68

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Solution

The fourth proportional to 14,201.73, 21,300.14 and 5,314.68 is: 7,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.73 : 21,300.14 = 5,314.68 : x
  2. Step 2: Convert to fraction form
    14,201.73/21,300.14 = 5,314.68/x
  3. Step 3: Cross multiply
    14,201.73x = 21,300.14 × 5,314.68
  4. Step 4: Simplify right side
    14,201.73x = 113,203,428.06
  5. Step 5: Solve for x
    x = 113,203,428.06/14,201.73
  6. Step 6: Final answer
    x = 7,971.10

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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.