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Finding the Fourth Proportional to 4,974.54, 7,460.28 and 1,642.19

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Solution

The fourth proportional to 4,974.54, 7,460.28 and 1,642.19 is: 2,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.54 : 7,460.28 = 1,642.19 : x
  2. Step 2: Convert to fraction form
    4,974.54/7,460.28 = 1,642.19/x
  3. Step 3: Cross multiply
    4,974.54x = 7,460.28 × 1,642.19
  4. Step 4: Simplify right side
    4,974.54x = 12,251,159.91
  5. Step 5: Solve for x
    x = 12,251,159.91/4,974.54
  6. Step 6: Final answer
    x = 2,462.77

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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.