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Finding the Fourth Proportional to 6,803.22, 9,366.96 and 6,180.36

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Solution

The fourth proportional to 6,803.22, 9,366.96 and 6,180.36 is: 8,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.22 : 9,366.96 = 6,180.36 : x
  2. Step 2: Convert to fraction form
    6,803.22/9,366.96 = 6,180.36/x
  3. Step 3: Cross multiply
    6,803.22x = 9,366.96 × 6,180.36
  4. Step 4: Simplify right side
    6,803.22x = 57,891,184.91
  5. Step 5: Solve for x
    x = 57,891,184.91/6,803.22
  6. Step 6: Final answer
    x = 8,509.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.