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Finding the Fourth Proportional to 10,797.23, 16,176.13 and 7,828.31

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Solution

The fourth proportional to 10,797.23, 16,176.13 and 7,828.31 is: 11,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.23 : 16,176.13 = 7,828.31 : x
  2. Step 2: Convert to fraction form
    10,797.23/16,176.13 = 7,828.31/x
  3. Step 3: Cross multiply
    10,797.23x = 16,176.13 × 7,828.31
  4. Step 4: Simplify right side
    10,797.23x = 126,631,781.11
  5. Step 5: Solve for x
    x = 126,631,781.11/10,797.23
  6. Step 6: Final answer
    x = 11,728.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.