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Finding the Fourth Proportional to 6,957.44, 10,382.08 and 6,336.48

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Solution

The fourth proportional to 6,957.44, 10,382.08 and 6,336.48 is: 9,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.44 : 10,382.08 = 6,336.48 : x
  2. Step 2: Convert to fraction form
    6,957.44/10,382.08 = 6,336.48/x
  3. Step 3: Cross multiply
    6,957.44x = 10,382.08 × 6,336.48
  4. Step 4: Simplify right side
    6,957.44x = 65,785,842.28
  5. Step 5: Solve for x
    x = 65,785,842.28/6,957.44
  6. Step 6: Final answer
    x = 9,455.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.