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Finding the Fourth Proportional to 10,496.28, 14,484.24 and 6,247.65

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Solution

The fourth proportional to 10,496.28, 14,484.24 and 6,247.65 is: 8,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.28 : 14,484.24 = 6,247.65 : x
  2. Step 2: Convert to fraction form
    10,496.28/14,484.24 = 6,247.65/x
  3. Step 3: Cross multiply
    10,496.28x = 14,484.24 × 6,247.65
  4. Step 4: Simplify right side
    10,496.28x = 90,492,462.04
  5. Step 5: Solve for x
    x = 90,492,462.04/10,496.28
  6. Step 6: Final answer
    x = 8,621.38

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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.