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Finding the Fourth Proportional to 7,907.20, 11,839.20 and 6,164.80

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Solution

The fourth proportional to 7,907.20, 11,839.20 and 6,164.80 is: 9,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.20 : 11,839.20 = 6,164.80 : x
  2. Step 2: Convert to fraction form
    7,907.20/11,839.20 = 6,164.80/x
  3. Step 3: Cross multiply
    7,907.20x = 11,839.20 × 6,164.80
  4. Step 4: Simplify right side
    7,907.20x = 72,986,300.16
  5. Step 5: Solve for x
    x = 72,986,300.16/7,907.20
  6. Step 6: Final answer
    x = 9,230.36

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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.