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Finding the Fourth Proportional to 9,165.80, 13,748.70 and 5,472.20

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Solution

The fourth proportional to 9,165.80, 13,748.70 and 5,472.20 is: 8,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.80 : 13,748.70 = 5,472.20 : x
  2. Step 2: Convert to fraction form
    9,165.80/13,748.70 = 5,472.20/x
  3. Step 3: Cross multiply
    9,165.80x = 13,748.70 × 5,472.20
  4. Step 4: Simplify right side
    9,165.80x = 75,235,636.14
  5. Step 5: Solve for x
    x = 75,235,636.14/9,165.80
  6. Step 6: Final answer
    x = 8,208.30

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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.