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Finding the Fourth Proportional to 6,194.07, 8,545.10 and 3,835.76

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Solution

The fourth proportional to 6,194.07, 8,545.10 and 3,835.76 is: 5,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.07 : 8,545.10 = 3,835.76 : x
  2. Step 2: Convert to fraction form
    6,194.07/8,545.10 = 3,835.76/x
  3. Step 3: Cross multiply
    6,194.07x = 8,545.10 × 3,835.76
  4. Step 4: Simplify right side
    6,194.07x = 32,776,890.87
  5. Step 5: Solve for x
    x = 32,776,890.87/6,194.07
  6. Step 6: Final answer
    x = 5,291.66

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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.