Home / 4,746.49-7,118.64-1,414.06

Finding the Fourth Proportional to 4,746.49, 7,118.64 and 1,414.06

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Solution

The fourth proportional to 4,746.49, 7,118.64 and 1,414.06 is: 2,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.49 : 7,118.64 = 1,414.06 : x
  2. Step 2: Convert to fraction form
    4,746.49/7,118.64 = 1,414.06/x
  3. Step 3: Cross multiply
    4,746.49x = 7,118.64 × 1,414.06
  4. Step 4: Simplify right side
    4,746.49x = 10,066,184.08
  5. Step 5: Solve for x
    x = 10,066,184.08/4,746.49
  6. Step 6: Final answer
    x = 2,120.76

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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.