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Finding the Fourth Proportional to 4,974.24, 7,461.53 and 1,642.57

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Solution

The fourth proportional to 4,974.24, 7,461.53 and 1,642.57 is: 2,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.24 : 7,461.53 = 1,642.57 : x
  2. Step 2: Convert to fraction form
    4,974.24/7,461.53 = 1,642.57/x
  3. Step 3: Cross multiply
    4,974.24x = 7,461.53 × 1,642.57
  4. Step 4: Simplify right side
    4,974.24x = 12,256,056.44
  5. Step 5: Solve for x
    x = 12,256,056.44/4,974.24
  6. Step 6: Final answer
    x = 2,463.91

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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.