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Finding the Fourth Proportional to 6,804.24, 9,382.12 and 6,140.88

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Solution

The fourth proportional to 6,804.24, 9,382.12 and 6,140.88 is: 8,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.24 : 9,382.12 = 6,140.88 : x
  2. Step 2: Convert to fraction form
    6,804.24/9,382.12 = 6,140.88/x
  3. Step 3: Cross multiply
    6,804.24x = 9,382.12 × 6,140.88
  4. Step 4: Simplify right side
    6,804.24x = 57,614,473.07
  5. Step 5: Solve for x
    x = 57,614,473.07/6,804.24
  6. Step 6: Final answer
    x = 8,467.44

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Half 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.