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Finding the Fourth Proportional to 10,806.32, 14,914.07 and 6,331.77

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Solution

The fourth proportional to 10,806.32, 14,914.07 and 6,331.77 is: 8,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.32 : 14,914.07 = 6,331.77 : x
  2. Step 2: Convert to fraction form
    10,806.32/14,914.07 = 6,331.77/x
  3. Step 3: Cross multiply
    10,806.32x = 14,914.07 × 6,331.77
  4. Step 4: Simplify right side
    10,806.32x = 94,432,429.35
  5. Step 5: Solve for x
    x = 94,432,429.35/10,806.32
  6. Step 6: Final answer
    x = 8,738.63

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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.