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Finding the Fourth Proportional to 6,807.48, 9,393.64 and 3,822.63

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Solution

The fourth proportional to 6,807.48, 9,393.64 and 3,822.63 is: 5,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.48 : 9,393.64 = 3,822.63 : x
  2. Step 2: Convert to fraction form
    6,807.48/9,393.64 = 3,822.63/x
  3. Step 3: Cross multiply
    6,807.48x = 9,393.64 × 3,822.63
  4. Step 4: Simplify right side
    6,807.48x = 35,908,410.07
  5. Step 5: Solve for x
    x = 35,908,410.07/6,807.48
  6. Step 6: Final answer
    x = 5,274.85

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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.