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Finding the Fourth Proportional to 5,013.86, 6,914.93 and 3,757.86

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Solution

The fourth proportional to 5,013.86, 6,914.93 and 3,757.86 is: 5,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.86 : 6,914.93 = 3,757.86 : x
  2. Step 2: Convert to fraction form
    5,013.86/6,914.93 = 3,757.86/x
  3. Step 3: Cross multiply
    5,013.86x = 6,914.93 × 3,757.86
  4. Step 4: Simplify right side
    5,013.86x = 25,985,320.06
  5. Step 5: Solve for x
    x = 25,985,320.06/5,013.86
  6. Step 6: Final answer
    x = 5,182.70

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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.