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Finding the Fourth Proportional to 10,505.41, 14,491.09 and 6,253.63

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Solution

The fourth proportional to 10,505.41, 14,491.09 and 6,253.63 is: 8,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.41 : 14,491.09 = 6,253.63 : x
  2. Step 2: Convert to fraction form
    10,505.41/14,491.09 = 6,253.63/x
  3. Step 3: Cross multiply
    10,505.41x = 14,491.09 × 6,253.63
  4. Step 4: Simplify right side
    10,505.41x = 90,621,863.29
  5. Step 5: Solve for x
    x = 90,621,863.29/10,505.41
  6. Step 6: Final answer
    x = 8,626.21

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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.