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Finding the Fourth Proportional to 4,763.97, 7,146.15 and 1,477.08

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Solution

The fourth proportional to 4,763.97, 7,146.15 and 1,477.08 is: 2,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.97 : 7,146.15 = 1,477.08 : x
  2. Step 2: Convert to fraction form
    4,763.97/7,146.15 = 1,477.08/x
  3. Step 3: Cross multiply
    4,763.97x = 7,146.15 × 1,477.08
  4. Step 4: Simplify right side
    4,763.97x = 10,555,435.24
  5. Step 5: Solve for x
    x = 10,555,435.24/4,763.97
  6. Step 6: Final answer
    x = 2,215.68

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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.