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Finding the Fourth Proportional to 4,845.69, 6,673.82 and 4,182.30

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Solution

The fourth proportional to 4,845.69, 6,673.82 and 4,182.30 is: 5,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.69 : 6,673.82 = 4,182.30 : x
  2. Step 2: Convert to fraction form
    4,845.69/6,673.82 = 4,182.30/x
  3. Step 3: Cross multiply
    4,845.69x = 6,673.82 × 4,182.30
  4. Step 4: Simplify right side
    4,845.69x = 27,911,896.47
  5. Step 5: Solve for x
    x = 27,911,896.47/4,845.69
  6. Step 6: Final answer
    x = 5,760.15

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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.