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Finding the Fourth Proportional to 8,336.70, 11,508.83 and 6,444

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Solution

The fourth proportional to 8,336.70, 11,508.83 and 6,444 is: 8,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.70 : 11,508.83 = 6,444 : x
  2. Step 2: Convert to fraction form
    8,336.70/11,508.83 = 6,444/x
  3. Step 3: Cross multiply
    8,336.70x = 11,508.83 × 6,444
  4. Step 4: Simplify right side
    8,336.70x = 74,162,868.30
  5. Step 5: Solve for x
    x = 74,162,868.30/8,336.70
  6. Step 6: Final answer
    x = 8,895.95

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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.