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Finding the Fourth Proportional to 6,844.80, 10,247.04 and 6,378.24

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Solution

The fourth proportional to 6,844.80, 10,247.04 and 6,378.24 is: 9,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.80 : 10,247.04 = 6,378.24 : x
  2. Step 2: Convert to fraction form
    6,844.80/10,247.04 = 6,378.24/x
  3. Step 3: Cross multiply
    6,844.80x = 10,247.04 × 6,378.24
  4. Step 4: Simplify right side
    6,844.80x = 65,358,080.41
  5. Step 5: Solve for x
    x = 65,358,080.41/6,844.80
  6. Step 6: Final answer
    x = 9,548.57

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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.