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Finding the Fourth Proportional to 4,761.71, 6,580.19 and 3,580.73

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Solution

The fourth proportional to 4,761.71, 6,580.19 and 3,580.73 is: 4,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.71 : 6,580.19 = 3,580.73 : x
  2. Step 2: Convert to fraction form
    4,761.71/6,580.19 = 3,580.73/x
  3. Step 3: Cross multiply
    4,761.71x = 6,580.19 × 3,580.73
  4. Step 4: Simplify right side
    4,761.71x = 23,561,883.74
  5. Step 5: Solve for x
    x = 23,561,883.74/4,761.71
  6. Step 6: Final answer
    x = 4,948.20

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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.