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Finding the Fourth Proportional to 10,471.24, 14,450.99 and 6,495

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Solution

The fourth proportional to 10,471.24, 14,450.99 and 6,495 is: 8,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.24 : 14,450.99 = 6,495 : x
  2. Step 2: Convert to fraction form
    10,471.24/14,450.99 = 6,495/x
  3. Step 3: Cross multiply
    10,471.24x = 14,450.99 × 6,495
  4. Step 4: Simplify right side
    10,471.24x = 93,859,180.05
  5. Step 5: Solve for x
    x = 93,859,180.05/10,471.24
  6. Step 6: Final answer
    x = 8,963.52

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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.