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Finding the Fourth Proportional to 6,102.74, 8,423.84 and 4,339.46

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Solution

The fourth proportional to 6,102.74, 8,423.84 and 4,339.46 is: 5,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.74 : 8,423.84 = 4,339.46 : x
  2. Step 2: Convert to fraction form
    6,102.74/8,423.84 = 4,339.46/x
  3. Step 3: Cross multiply
    6,102.74x = 8,423.84 × 4,339.46
  4. Step 4: Simplify right side
    6,102.74x = 36,554,916.73
  5. Step 5: Solve for x
    x = 36,554,916.73/6,102.74
  6. Step 6: Final answer
    x = 5,989.92

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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.