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Finding the Fourth Proportional to 14,201.41, 19,598.49 and 7,914.19

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Solution

The fourth proportional to 14,201.41, 19,598.49 and 7,914.19 is: 10,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.41 : 19,598.49 = 7,914.19 : x
  2. Step 2: Convert to fraction form
    14,201.41/19,598.49 = 7,914.19/x
  3. Step 3: Cross multiply
    14,201.41x = 19,598.49 × 7,914.19
  4. Step 4: Simplify right side
    14,201.41x = 155,106,173.57
  5. Step 5: Solve for x
    x = 155,106,173.57/14,201.41
  6. Step 6: Final answer
    x = 10,921.89

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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.