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Finding the Fourth Proportional to 6,884.69, 9,504.80 and 4,533.66

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Solution

The fourth proportional to 6,884.69, 9,504.80 and 4,533.66 is: 6,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.69 : 9,504.80 = 4,533.66 : x
  2. Step 2: Convert to fraction form
    6,884.69/9,504.80 = 4,533.66/x
  3. Step 3: Cross multiply
    6,884.69x = 9,504.80 × 4,533.66
  4. Step 4: Simplify right side
    6,884.69x = 43,091,542.90
  5. Step 5: Solve for x
    x = 43,091,542.90/6,884.69
  6. Step 6: Final answer
    x = 6,259.04

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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.