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Finding the Fourth Proportional to 6,824.98, 9,418.56 and 3,840.64

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Solution

The fourth proportional to 6,824.98, 9,418.56 and 3,840.64 is: 5,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.98 : 9,418.56 = 3,840.64 : x
  2. Step 2: Convert to fraction form
    6,824.98/9,418.56 = 3,840.64/x
  3. Step 3: Cross multiply
    6,824.98x = 9,418.56 × 3,840.64
  4. Step 4: Simplify right side
    6,824.98x = 36,173,298.28
  5. Step 5: Solve for x
    x = 36,173,298.28/6,824.98
  6. Step 6: Final answer
    x = 5,300.13

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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.