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Finding the Fourth Proportional to 9,271.80, 13,907.70 and 9,174.60

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Solution

The fourth proportional to 9,271.80, 13,907.70 and 9,174.60 is: 13,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.80 : 13,907.70 = 9,174.60 : x
  2. Step 2: Convert to fraction form
    9,271.80/13,907.70 = 9,174.60/x
  3. Step 3: Cross multiply
    9,271.80x = 13,907.70 × 9,174.60
  4. Step 4: Simplify right side
    9,271.80x = 127,597,584.42
  5. Step 5: Solve for x
    x = 127,597,584.42/9,271.80
  6. Step 6: Final answer
    x = 13,761.90

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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.