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Finding the Fourth Proportional to 13,107.80, 19,661.70 and 9,402.20

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Solution

The fourth proportional to 13,107.80, 19,661.70 and 9,402.20 is: 14,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.80 : 19,661.70 = 9,402.20 : x
  2. Step 2: Convert to fraction form
    13,107.80/19,661.70 = 9,402.20/x
  3. Step 3: Cross multiply
    13,107.80x = 19,661.70 × 9,402.20
  4. Step 4: Simplify right side
    13,107.80x = 184,863,235.74
  5. Step 5: Solve for x
    x = 184,863,235.74/13,107.80
  6. Step 6: Final answer
    x = 14,103.30

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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.