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Finding the Fourth Proportional to 4,857.63, 6,703.14 and 2,968.56

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Solution

The fourth proportional to 4,857.63, 6,703.14 and 2,968.56 is: 4,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.63 : 6,703.14 = 2,968.56 : x
  2. Step 2: Convert to fraction form
    4,857.63/6,703.14 = 2,968.56/x
  3. Step 3: Cross multiply
    4,857.63x = 6,703.14 × 2,968.56
  4. Step 4: Simplify right side
    4,857.63x = 19,898,673.28
  5. Step 5: Solve for x
    x = 19,898,673.28/4,857.63
  6. Step 6: Final answer
    x = 4,096.37

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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.