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Finding the Fourth Proportional to 6,824.88, 9,415.80 and 4,468.32

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Solution

The fourth proportional to 6,824.88, 9,415.80 and 4,468.32 is: 6,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.88 : 9,415.80 = 4,468.32 : x
  2. Step 2: Convert to fraction form
    6,824.88/9,415.80 = 4,468.32/x
  3. Step 3: Cross multiply
    6,824.88x = 9,415.80 × 4,468.32
  4. Step 4: Simplify right side
    6,824.88x = 42,072,807.46
  5. Step 5: Solve for x
    x = 42,072,807.46/6,824.88
  6. Step 6: Final answer
    x = 6,164.62

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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.