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Finding the Fourth Proportional to 4,974.61, 7,460.38 and 1,642.24

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Solution

The fourth proportional to 4,974.61, 7,460.38 and 1,642.24 is: 2,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.61 : 7,460.38 = 1,642.24 : x
  2. Step 2: Convert to fraction form
    4,974.61/7,460.38 = 1,642.24/x
  3. Step 3: Cross multiply
    4,974.61x = 7,460.38 × 1,642.24
  4. Step 4: Simplify right side
    4,974.61x = 12,251,734.45
  5. Step 5: Solve for x
    x = 12,251,734.45/4,974.61
  6. Step 6: Final answer
    x = 2,462.85

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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.