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Finding the Fourth Proportional to 6,807.20, 9,393.94 and 3,823.32

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Solution

The fourth proportional to 6,807.20, 9,393.94 and 3,823.32 is: 5,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.20 : 9,393.94 = 3,823.32 : x
  2. Step 2: Convert to fraction form
    6,807.20/9,393.94 = 3,823.32/x
  3. Step 3: Cross multiply
    6,807.20x = 9,393.94 × 3,823.32
  4. Step 4: Simplify right side
    6,807.20x = 35,916,038.68
  5. Step 5: Solve for x
    x = 35,916,038.68/6,807.20
  6. Step 6: Final answer
    x = 5,276.18

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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.