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Finding the Fourth Proportional to 6,806.61, 10,211.21 and 2,364.11

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Solution

The fourth proportional to 6,806.61, 10,211.21 and 2,364.11 is: 3,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.61 : 10,211.21 = 2,364.11 : x
  2. Step 2: Convert to fraction form
    6,806.61/10,211.21 = 2,364.11/x
  3. Step 3: Cross multiply
    6,806.61x = 10,211.21 × 2,364.11
  4. Step 4: Simplify right side
    6,806.61x = 24,140,395.46
  5. Step 5: Solve for x
    x = 24,140,395.46/6,806.61
  6. Step 6: Final answer
    x = 3,546.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.