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Finding the Fourth Proportional to 6,703.86, 9,251.76 and 3,871.76

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Solution

The fourth proportional to 6,703.86, 9,251.76 and 3,871.76 is: 5,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.86 : 9,251.76 = 3,871.76 : x
  2. Step 2: Convert to fraction form
    6,703.86/9,251.76 = 3,871.76/x
  3. Step 3: Cross multiply
    6,703.86x = 9,251.76 × 3,871.76
  4. Step 4: Simplify right side
    6,703.86x = 35,820,594.30
  5. Step 5: Solve for x
    x = 35,820,594.30/6,703.86
  6. Step 6: Final answer
    x = 5,343.28

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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.