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Finding the Fourth Proportional to 13,854.65, 20,771.03 and 7,277.24

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Solution

The fourth proportional to 13,854.65, 20,771.03 and 7,277.24 is: 10,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.65 : 20,771.03 = 7,277.24 : x
  2. Step 2: Convert to fraction form
    13,854.65/20,771.03 = 7,277.24/x
  3. Step 3: Cross multiply
    13,854.65x = 20,771.03 × 7,277.24
  4. Step 4: Simplify right side
    13,854.65x = 151,155,840.48
  5. Step 5: Solve for x
    x = 151,155,840.48/13,854.65
  6. Step 6: Final answer
    x = 10,910.12

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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.