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Finding the Fourth Proportional to 10,379.75, 14,324.06 and 5,664.13

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Solution

The fourth proportional to 10,379.75, 14,324.06 and 5,664.13 is: 7,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.75 : 14,324.06 = 5,664.13 : x
  2. Step 2: Convert to fraction form
    10,379.75/14,324.06 = 5,664.13/x
  3. Step 3: Cross multiply
    10,379.75x = 14,324.06 × 5,664.13
  4. Step 4: Simplify right side
    10,379.75x = 81,133,337.97
  5. Step 5: Solve for x
    x = 81,133,337.97/10,379.75
  6. Step 6: Final answer
    x = 7,816.50

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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.