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Finding the Fourth Proportional to 6,287.80, 9,420.90 and 5,315.80

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Solution

The fourth proportional to 6,287.80, 9,420.90 and 5,315.80 is: 7,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.80 : 9,420.90 = 5,315.80 : x
  2. Step 2: Convert to fraction form
    6,287.80/9,420.90 = 5,315.80/x
  3. Step 3: Cross multiply
    6,287.80x = 9,420.90 × 5,315.80
  4. Step 4: Simplify right side
    6,287.80x = 50,079,620.22
  5. Step 5: Solve for x
    x = 50,079,620.22/6,287.80
  6. Step 6: Final answer
    x = 7,964.57

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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.