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Finding the Fourth Proportional to 13,783.70, 20,675.55 and 9,895.70

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Solution

The fourth proportional to 13,783.70, 20,675.55 and 9,895.70 is: 14,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.70 : 20,675.55 = 9,895.70 : x
  2. Step 2: Convert to fraction form
    13,783.70/20,675.55 = 9,895.70/x
  3. Step 3: Cross multiply
    13,783.70x = 20,675.55 × 9,895.70
  4. Step 4: Simplify right side
    13,783.70x = 204,599,040.14
  5. Step 5: Solve for x
    x = 204,599,040.14/13,783.70
  6. Step 6: Final answer
    x = 14,843.55

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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.