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Finding the Fourth Proportional to 4,857.54, 6,703.11 and 2,761.50

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Solution

The fourth proportional to 4,857.54, 6,703.11 and 2,761.50 is: 3,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.54 : 6,703.11 = 2,761.50 : x
  2. Step 2: Convert to fraction form
    4,857.54/6,703.11 = 2,761.50/x
  3. Step 3: Cross multiply
    4,857.54x = 6,703.11 × 2,761.50
  4. Step 4: Simplify right side
    4,857.54x = 18,510,638.27
  5. Step 5: Solve for x
    x = 18,510,638.27/4,857.54
  6. Step 6: Final answer
    x = 3,810.70

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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.