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Finding the Fourth Proportional to 11,883.66, 17,824.41 and 5,315.10

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Solution

The fourth proportional to 11,883.66, 17,824.41 and 5,315.10 is: 7,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.66 : 17,824.41 = 5,315.10 : x
  2. Step 2: Convert to fraction form
    11,883.66/17,824.41 = 5,315.10/x
  3. Step 3: Cross multiply
    11,883.66x = 17,824.41 × 5,315.10
  4. Step 4: Simplify right side
    11,883.66x = 94,738,521.59
  5. Step 5: Solve for x
    x = 94,738,521.59/11,883.66
  6. Step 6: Final answer
    x = 7,972.17

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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.