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Finding the Fourth Proportional to 4,610.84, 6,917.16 and 1,491.63

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Solution

The fourth proportional to 4,610.84, 6,917.16 and 1,491.63 is: 2,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.84 : 6,917.16 = 1,491.63 : x
  2. Step 2: Convert to fraction form
    4,610.84/6,917.16 = 1,491.63/x
  3. Step 3: Cross multiply
    4,610.84x = 6,917.16 × 1,491.63
  4. Step 4: Simplify right side
    4,610.84x = 10,317,843.37
  5. Step 5: Solve for x
    x = 10,317,843.37/4,610.84
  6. Step 6: Final answer
    x = 2,237.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.