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Finding the Fourth Proportional to 6,182.74, 8,531.22 and 3,946.47

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Solution

The fourth proportional to 6,182.74, 8,531.22 and 3,946.47 is: 5,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.74 : 8,531.22 = 3,946.47 : x
  2. Step 2: Convert to fraction form
    6,182.74/8,531.22 = 3,946.47/x
  3. Step 3: Cross multiply
    6,182.74x = 8,531.22 × 3,946.47
  4. Step 4: Simplify right side
    6,182.74x = 33,668,203.79
  5. Step 5: Solve for x
    x = 33,668,203.79/6,182.74
  6. Step 6: Final answer
    x = 5,445.52

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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.