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Finding the Fourth Proportional to 14,201.66, 19,598.82 and 7,914.44

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Solution

The fourth proportional to 14,201.66, 19,598.82 and 7,914.44 is: 10,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.66 : 19,598.82 = 7,914.44 : x
  2. Step 2: Convert to fraction form
    14,201.66/19,598.82 = 7,914.44/x
  3. Step 3: Cross multiply
    14,201.66x = 19,598.82 × 7,914.44
  4. Step 4: Simplify right side
    14,201.66x = 155,113,684.96
  5. Step 5: Solve for x
    x = 155,113,684.96/14,201.66
  6. Step 6: Final answer
    x = 10,922.22

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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.