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Finding the Fourth Proportional to 13,671.42, 20,507.14 and 9,783.42

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Solution

The fourth proportional to 13,671.42, 20,507.14 and 9,783.42 is: 14,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.42 : 20,507.14 = 9,783.42 : x
  2. Step 2: Convert to fraction form
    13,671.42/20,507.14 = 9,783.42/x
  3. Step 3: Cross multiply
    13,671.42x = 20,507.14 × 9,783.42
  4. Step 4: Simplify right side
    13,671.42x = 200,629,963.62
  5. Step 5: Solve for x
    x = 200,629,963.62/13,671.42
  6. Step 6: Final answer
    x = 14,675.14

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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.