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Finding the Fourth Proportional to 6,270.85, 9,406.43 and 2,984.28

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Solution

The fourth proportional to 6,270.85, 9,406.43 and 2,984.28 is: 4,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.85 : 9,406.43 = 2,984.28 : x
  2. Step 2: Convert to fraction form
    6,270.85/9,406.43 = 2,984.28/x
  3. Step 3: Cross multiply
    6,270.85x = 9,406.43 × 2,984.28
  4. Step 4: Simplify right side
    6,270.85x = 28,071,420.92
  5. Step 5: Solve for x
    x = 28,071,420.92/6,270.85
  6. Step 6: Final answer
    x = 4,476.49

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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.