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Finding the Fourth Proportional to 6,297.14, 9,444.43 and 5,984.90

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Solution

The fourth proportional to 6,297.14, 9,444.43 and 5,984.90 is: 8,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.14 : 9,444.43 = 5,984.90 : x
  2. Step 2: Convert to fraction form
    6,297.14/9,444.43 = 5,984.90/x
  3. Step 3: Cross multiply
    6,297.14x = 9,444.43 × 5,984.90
  4. Step 4: Simplify right side
    6,297.14x = 56,523,969.11
  5. Step 5: Solve for x
    x = 56,523,969.11/6,297.14
  6. Step 6: Final answer
    x = 8,976.13

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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.