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Finding the Fourth Proportional to 10,558.84, 14,571.66 and 6,367

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Solution

The fourth proportional to 10,558.84, 14,571.66 and 6,367 is: 8,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.84 : 14,571.66 = 6,367 : x
  2. Step 2: Convert to fraction form
    10,558.84/14,571.66 = 6,367/x
  3. Step 3: Cross multiply
    10,558.84x = 14,571.66 × 6,367
  4. Step 4: Simplify right side
    10,558.84x = 92,777,759.22
  5. Step 5: Solve for x
    x = 92,777,759.22/10,558.84
  6. Step 6: Final answer
    x = 8,786.74

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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.