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Finding the Fourth Proportional to 4,972.16, 7,491.92 and 4,125.44

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Solution

The fourth proportional to 4,972.16, 7,491.92 and 4,125.44 is: 6,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.16 : 7,491.92 = 4,125.44 : x
  2. Step 2: Convert to fraction form
    4,972.16/7,491.92 = 4,125.44/x
  3. Step 3: Cross multiply
    4,972.16x = 7,491.92 × 4,125.44
  4. Step 4: Simplify right side
    4,972.16x = 30,907,466.44
  5. Step 5: Solve for x
    x = 30,907,466.44/4,972.16
  6. Step 6: Final answer
    x = 6,216.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.