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Finding the Fourth Proportional to 4,963.14, 6,849.12 and 2,809.65

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Solution

The fourth proportional to 4,963.14, 6,849.12 and 2,809.65 is: 3,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.14 : 6,849.12 = 2,809.65 : x
  2. Step 2: Convert to fraction form
    4,963.14/6,849.12 = 2,809.65/x
  3. Step 3: Cross multiply
    4,963.14x = 6,849.12 × 2,809.65
  4. Step 4: Simplify right side
    4,963.14x = 19,243,614.86
  5. Step 5: Solve for x
    x = 19,243,614.86/4,963.14
  6. Step 6: Final answer
    x = 3,877.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.